You should know that buying CPU released last month are not compatible with Z68 (yet).
If you can borrow CPU which is on the list:
GIGABYTE TECHNOLOGY Socket 1155 - Intel Z68 - GA-Z68AP-D3 (rev. 2.0)
and try to flash award BIOS FD (March 2012, I assume came with it) to latest UEFI Ua7.......(maybe help,since is released end of August 2012).
Z77 boards (BIOS) support Intel G2020 since August 2012.