Dear friends i am facing an issue in the hosting of my server from ASA publicly

Question

i have already assing a public ip addd to the outside interface of the ASA ,My requirement is to configure firewall to host my web server publicly using the public ip not assign to  the outside interface but different subnet,i make every configuration is i have done but i cant ping or connect my web server i can ping the web server from my ASA,but from outside i  cannot reach my webserver.Could anyone help me in this because i am facing problem.
Below is the configuration of the firewall
server ip add 10.10.10.4(local,reachable)
public ip add-78.72.232.66(default gateway)
sho run configuration of the firewall
ASA Version 8.2(5)
hostname TAD-FW
domain-name tadrees.com
enable password lpW.MGeEHg0ISQZq encrypted
passwd 2KFQnbNIdI.2KYOU encrypted
names
interface Ethernet0/0
description Connected to TAD-Router G0/1
nameif outside
security-level 0
ip address 78.72.29.174 255.255.255.252
interface Ethernet0/1
description Connected to Cisco SMB Switch G1
nameif inside
security-level 100
ip address 10.15.1.1 255.255.255.248
interface Ethernet0/2
shutdown
no nameif
no security-level
no ip address
interface Ethernet0/3
shutdown
no nameif
no security-level
no ip address
interface Management0/0
nameif management
security-level 100
no ip address
management-only
banner login ********  TADREES FIREWALL ********
ftp mode passive
dns domain-lookup outside
dns server-group DefaultDNS
name-server 8.8.8.8
name-server 84.22.224.11
name-server 84.22.224.12
domain-name tadrees.com
access-list split-tunnel standard permit 10.10.0.0 255.255.0.0
access-list nonat extended permit ip 10.1.1.0 255.255.255.0 10.10.0.0 255.255.0.0
access-list nonat extended permit ip 10.10.0.0 255.255.0.0 10.1.1.0 255.255.255.0
access-list Mename-Access extended permit tcp any host78.72.232.66 eq https
access-list Mename-Access extended permit tcp any host 78.72.232.66 eq www
pager lines 24
logging enable
logging buffered debugging
logging asdm debugging
mtu outside 1500
mtu inside 1500
mtu management 1500
ip local pool sslvpnpool 10.1.1.1-10.1.1.254 mask 255.255.255.0
no failover
icmp unreachable rate-limit 1 burst-size 1
asdm image disk0:/asdm-702.bin
no asdm history enable
arp timeout 14400
global (outside) 1 interface
nat (inside) 0 access-list nonat
nat (inside) 1 0.0.0.0 0.0.0.0
static (inside,outside) tcp 78.722..232.66 www 10.10.10.4 www netmask 255.255.255.255
access-group Mename-Access in interface outside
router rip
network 10.0.0.0
version 2
route outside 0.0.0.0 0.0.0.0 78.72.29.173 1
route inside 10.10.10.4 255.255.255.255 10.15.1.1 1
timeout xlate 3:00:00
timeout conn 1:00:00 half-closed 0:10:00 udp 0:02:00 icmp 0:00:02
timeout sunrpc 0:10:00 h323 0:05:00 h225 1:00:00 mgcp 0:05:00 mgcp-pat 0:05:00
timeout sip 0:30:00 sip_media 0:02:00 sip-invite 0:03:00 sip-disconnect 0:02:00
timeout sip-provisional-media 0:02:00 uauth 0:05:00 absolute
timeout tcp-proxy-reassembly 0:01:00
timeout floating-conn 0:00:00
dynamic-access-policy-record DfltAccessPolicy
aaa-server TAD-AD protocol nt
aaa-server TAD-AD (inside) host 10.10.10.1
aaa authentication ssh console LOCAL
http server enable 444
http 192.168.1.0 255.255.255.0 management
http 0.0.0.0 0.0.0.0 outside
http 0.0.0.0 0.0.0.0 inside
no snmp-server location
no snmp-server contact
snmp-server enable traps snmp authentication linkup linkdown coldstart
crypto ipsec security-association lifetime seconds 28800
crypto ipsec security-association lifetime kilobytes 4608000
telnet 0.0.0.0 0.0.0.0 inside
telnet timeout 2
ssh 0.0.0.0 0.0.0.0 outside
ssh 0.0.0.0 0.0.0.0 inside
ssh timeout 20
console timeout 0
management-access inside
threat-detection basic-threat
threat-detection statistics access-list
no threat-detection statistics tcp-intercept
webvpn
enable outside
no anyconnect-essentials
svc image disk0:/anyconnect-win-2.5.2014-k9.pkg 1
svc enable
tunnel-group-list enable
internal-password enable
group-policy sslvpn internal
group-policy sslvpn attributes
wins-server none
dns-server none
vpn-tunnel-protocol svc webvpn
split-tunnel-policy tunnelspecified
split-tunnel-network-list value split-tunnel
default-domain value tadrees.com
group-policy DfltGrpPolicy attributes
webvpn
  svc ask enable default webvpn timeout 30
username asad password GxozRbsh8Rp9vCkf encrypted privilege 15
username cisco password HWFflA1bzYiq7Uut encrypted privilege 15
username naveed password d8KsovrcdE3to7qt encrypted privilege 15
tunnel-group TAD-SSLV type remote-access
tunnel-group TAD-SSLV general-attributes
address-pool sslvpnpool
authentication-server-group TAD-AD LOCAL
default-group-policy sslvpn
tunnel-group TAD-SSLV webvpn-attributes
group-alias ssl enable
group-url https://78.93.29.174/ssl enable
class-map inspection_default
match default-inspection-traffic
policy-map type inspect dns preset_dns_map
parameters
  message-length maximum client auto
  message-length maximum 512
policy-map global_policy
class inspection_default
  inspect dns preset_dns_map
  inspect ftp
  inspect h323 h225
  inspect h323 ras
  inspect rsh
  inspect rtsp
  inspect esmtp
  inspect sqlnet
  inspect skinny
  inspect sunrpc
  inspect xdmcp
  inspect sip
  inspect netbios
  inspect tftp
  inspect ip-options
  inspect icmp
  inspect http
service-policy global_policy global
prompt hostname context
no call-home reporting anonymous
Cryptochecksum:cec976b762f5e1d9d9856eeb4dea4019
: end

Answer 1

Solution, give me your number so we can talk about or setup captures on the ASA to confirm that traffic from the Internet is being routed correctly to the ASA and also review logs.
capture out interface outside match ip any host 78.93.232.66
capture in interface inside match ip any host  10.10.10.4
After you try to access the server via the public IP from an Internet client check the captures:
show capture
If you see packets in the capture, download them:
https://10.15.1.1/capture/in/pcap
https://10.15.1.1/capture/out/pcap
It will ask you for your credentials to be able to download the file.
Check logs via ASDM:
Log into ASDM > Monitoring > logging > Real Time log viewer
Type in the external IP address of the server and run another test, if you see logs post them