In addition, you'll want to take a look at your memory, I did see a number of bits missing in a referenced address that caused the crash. I cannot ascertain when the problem originated or where, but can often be from memory problems.
First, run Memtest86+ as instructed
here. Do so for at least 7 passes on your RAM. Then, follow up with running
Prime95 on Torture Test with Blend overnight. If you see any errors from Memtest, it's most likely a memory problem. If you see any errors from Prime95, it's most likely a CPU problem. If you see errors from both, it can very well be a CPU problem, a motherboard, or power supply problem.
Note that this does not negate
panais' observation. I did see in the faulting thread that the stack for it involved your network drivers. You will want to work on updating them as previously prescribed. Also, you may wanna do the same for your HD Audio drivers as well. These most likely are incorporated in your motherboard drivers so make sure to update those from the appropriate website (Gigabyte). Don't forget the BIOS, too.
EDIT: Your best option for both the Realtek drivers and the rest of them is to go to the Gigabyte website, go to the drivers specifically for your motherboard, and then download them and install them. Sometimes it's best to uninstall them by going to
Programs and Features from your Start menu and then installing them.
Btw, is this an OEM computer (Dell, HP, etc.)? From the information it doesn't seem like it.