Adobe Illustrator CS6 has stopped working on Windows 7

Question

I've seen a few posts about this and I stall haven't seen it stop or a fix that works.
I use Illustrator any length of time (up and running just a few minutes till up for weeks on end) and as soon as I quit (either by File -> Exit, the X in the corner or Alt -> F4) it closes panels and after a bit pops up that "Adobe Illustrator CS6 has stoppped working.  Microsoft is looking for a solution to this problem."
It saves the recently opened files.  All settings seem to save as I don't need to reset them.  But of course its worrisome.
Note:
Everything has been unisnstalled and reinstalled 3 times.
All permissions have always looked okay.
I have tried running it as Administrator and still have had it happen
Illustrator has been the only program of all the ones installed to have this issue.
Are  there any fixes I've missed?  I'm a cloud client so have expected a patch for a while now to come out fixing this, as I've updated Illustrator a few times since starting using CS6.
In looking in logs the constistent error has been:
Faulting application name: Illustrator.exe, version: 16.2.0.723, time stamp: 0x50bb3ee0
Faulting module name: QtCore4.dll_unloaded, version: 0.0.0.0, time stamp: 0x4ffd8608
Exception code: 0xc0000005
Fault offset: 0x000000005b8bb260
Faulting process id: 0x2300
Faulting application start time: 0x01cddd4fcd1f94e0
Faulting application path: C:\Program Files\Adobe\Adobe Illustrator CS6 (64 Bit)\Support Files\Contents\Windows\Illustrator.exe
Faulting module path: QtCore4.dll
Report Id: 1dbace71-4943-11e2-ac54-d4bed9d5ae3c

Answer 1

Do you have any other suggestions of other things to look at/try?
Edit: as a note, both Illustrator CS6 64bit and 32bit do this.
And both have same error:
Faulting application name: Illustrator.exe, version: 16.2.0.723, time stamp: 0x50bb3ee0
Faulting module name: QtCore4.dll_unloaded, version: 0.0.0.0, time stamp: 0x4ffd8608
Exception code: 0xc0000005
Fault offset: 0x0000000077e4b260
Faulting process id: 0xbc0
Faulting application start time: 0x01cddf99e30b81dd
Faulting application path: C:\Program Files\Adobe\Adobe Illustrator CS6 (64 Bit)\Support Files\Contents\Windows\Illustrator.exe
Faulting module path: QtCore4.dll
Report Id: a65a3986-4dec-11e2-ac37-d4bed9d5ae3c
Faulting application name: Illustrator.exe, version: 16.2.0.723, time stamp: 0x50bb3c14
Faulting module name: QtCore4.dll_unloaded, version: 0.0.0.0, time stamp: 0x4ffa7c8c
Exception code: 0xc0000005
Fault offset: 0x77628ab0
Faulting process id: 0x27fc
Faulting application start time: 0x01cde1fc710ff859
Faulting application path: C:\Program Files (x86)\Adobe\Adobe Illustrator CS6\Support Files\Contents\Windows\Illustrator.exe
Faulting module path: QtCore4.dll
Report Id: f127cdfa-4def-11e2-ac37-d4bed9d5ae3c