HP Pavilion G6-1312EW 
Microsoft Windows 7 (64-bit) 
Version           Date       Size    SoftPack
F.66              02-2013    11.3M   sp60864.exe ^ 
F.65              11-2012    11.3M   sp59558.exe ^
F.64              05-2012    11.3M   sp57333.exe ^ 
F.63              04-2012    11.3M   sp56874.exe ^ 
F.62              03-2012    11.3M   sp56298.exe ^ 
F.52              01-2012    11.3M   sp55717.exe ^  
F.41              12-2011    9.12M   sp55451.exe ^ 
F.34              10-2011    9.11M   sp54843.exe ^ 
F.33              09-2011    9.10M   sp54660.exe ^
F.32              08-2011    9.10M   sp54223.exe Not Moddable
F.24              07-2011    9.40M   sp53872.exe Moddable
F.23              07-2011    9.40M   sp53733.exe Moddable
F.15              06-2011    7.08M   sp53399.exe Moddable 
F.14              05-2011    7.08M   sp53128.exe Moddable 
F.07              04-2011    7.04M   sp52812.exe Moddable 
F.06              04-2011    7.04M   sp52469.exe Moddable 
Try this one : 
http://rghost.net/7shmv75cg
let me know
Regrads
P.S. if It will work then We will Flash the version F.66 RSA Hacked too !