Traceroute issue in ASA (not solved by other threads)

Question

Hello,
I know this has been going on for a long time, but I'm facing the traceroute issue in the ASA. Weirdly enough, I can reach the destination using traceroute with no problem, but I can't see the path to it. I pasted the result below.
I also checked my ASA configuration and the only setting that is not present is the "match any " for the "class-map class_default", because when I enter "class-map class_default" I get the following warning:
ASA(config)# class-map class-default
ERROR: % class-default is a well-known class and is not configurable under class-map
Can you guys help me? I posted below the tracert output and the concerned configuration. I can't find the misfit and I already checked most of the configuration forums.
C:\>tracert www.google.com
Tracing route to www.google.com [173.194.79.104]
over a maximum of 30 hops:
  1    <1 ms    <1 ms    <1 ms  10.0.0.1
  2     *        *        *     Request timed out.
  3     *        *        *     Request timed out.
  4     *        *        *     Request timed out.
  5     *        *        *     Request timed out.
  6     *        *        *     Request timed out.
  7     *        *        *     Request timed out.
  8     *        *        *     Request timed out.
  9     *        *        *     Request timed out.
 10     *        *        *     Request timed out.
 11     *        *        *     Request timed out.
 12     *        *        *     Request timed out.
 13     *        *        *     Request timed out.
 14     *        *        *     Request timed out.
 15     *        *        *     Request timed out.
 16     *        *        *     Request timed out.
 17     *        *        *     Request timed out.
 18     *        *        *     Request timed out.
 19     *        *        *     Request timed out.
 20     *        *        *     Request timed out.
 21     *        *        *     Request timed out.
 22     *        *        *     Request timed out.
 23   212 ms   212 ms   212 ms  pb-in-f104.1e100.net [173.194.79.104]
Trace complete.
---Router configuration
icmp unreachable rate-limit 10 burst-size 5
object-group service ICMP_Return
 service-object icmp echo-reply
 service-object icmp time-exceeded
 service-object icmp traceroute
 service-object icmp unreachable
 service-object icmp6 echo-reply
 service-object icmp6 time-exceeded
 service-object icmp6 unreachable
access-list IF_outside_access_in remark ICMP Return
access-list IF_outside_access_in extended permit object-group ICMP_Return any any
access-group IF_outside_access_in in interface IF_outside
class-map class_default
!--- This does not exit -> match any 
class-map inspection_default
 match default-inspection-traffic
policy-map global_policy
 class class-default
  set connection decrement-ttl
service-policy global_policy global

Answer 1

Hello, it's not. 10.0.0.1 is my default gateway, a local router.
Something that is worth mentioning is, traceroute works for other ASA interfaces (DMZ). It only fails for the external interface.
Look:
c:\> tracert 10.0.100.50
Tracing route to webserver.corp.mycompany.com [10.0.100.50]
over a maximum of 30 hops:
  1     3 ms     3 ms     2 ms  10.0.0.1
  2    <1 ms    <1 ms    <1 ms  10.0.0.2 <- This is the ASA
  3     1 ms     1 ms     1 ms  webserver.corp.mycompany.com [10.0.100.50]
Trace complete.
Any ideas?