The aircraft collided with the terrain and nosed over off the departure end of the runway during takeoff. The runway in use was 12 and the wind was from 180 degrees at 5 knots gusting to 15 knots. The runway is 5000 feet long and 60 feet wide. The field elevation is 5740 feet and the temperature was 70 degrees F. The density altitude was about 7500 feet. The aircraft wing tanks were full and there were 4 persons on board. The pilot stated that the aircraft skipped to the left just prior to takeoff and then would not climb over 50 feet. He could not get the aircraft back over the runway. The stall warning sounded so he put the wheel forward and the plane touched the end of the runway, skipped over a gully and hit on the wheels on the side of a hill about 200 feet off the end of the runway. The nose gear dug into the soft dirt and the aircraft nosed over. No one was injured.