Win 7 x64 0x19 BSOD When closing "Kerbal Space Program"

Hi webbwbb.

Your Crash dump is not showing any probable finite cause.

Test your RAM modules for possible errors.
How to Test and Diagnose RAM Issues with Memtest86+
Run memtest for at least 8 passes, preferably overnight.
If it start showing errors/red lines, stop testing. A single error is enough to determine that something is going bad there.

Stress test the Graphics Card using Furmark.
Video Card - Stress Test with Furmark

If these two tests comes without any issue, enable Driver Verifier to monitor the drivers.
Driver Verifier - Enable and Disable
Run Driver Verifier for 24 hours or the occurrence of the next crash, whichever is earlier.

   Information

Why Driver Verifier:
It puts a stress on the drivers, ans so it makes the unstable drivers crash. Hopefully the driver that crashes is recorded in the memory dump.

How Can we know that DV is enabled:
It will make the system bit of slow, laggy.

   Warning

Before enabling DV, make it sure that you have earlier System restore points made in your computer. You can check it easily by using CCleaner looking at Tools > System Restore.

If there is no points, make a System Restore Point manually before enabling DV.

   Tip

• If you fail to get on the Desktop because of DV, Boot into Advanced Boot Options > Safe mode. Disable DV there. Now boot normally again, and try following the instruction of enabling DV again.
• If you cannot boot in Safe mode too, do a System Restore to a point you made earlier.

Let us know the results, with the subsequent crash dumps, if any.

Also try to update your BIOS to Version F13 dated 2012/03/21 (not suggesting the latest UEFI one, as it may cause some complexities with the installed windows) from GIGABYTE - Motherboard - Socket 1155 - GA-Z68A-D3H-B3 (rev. 1.0). You also may use @BIOS to install the BIOS update, available under utilities.

Let us know the results.