The pilot was landing a ski/wheel equipped airplane on a remote, ice covered lake. During the landing run toward the north, the airplane encountered a strong gust of wind from the left, and it began to ground loop with the tail of the airplane veering to the right. The right wing of the airplane collided with a snow bank, and the airplane came to rest upright. The pilot reported the wind conditions were, 270 degrees at 10 knots, with gusts to 20 knots.