You can run the test for as long as you like.
The GPU will shut down if it gets hot (what I think you are experiencing)
The games that you have been playing are putting a lot of load on the card and causing it to heat up.
People report that these cards will go up to 100C but I would not be happy with that.
What temps do you have before the test?
Does the fan speed up as the test continues?
Does your system only crash when you are playing games or when your on the net etc.?