Bring eggs to a gentle simmer. Cover and remove from heat. Let sit for 10 minutes for a fully cooked but slightly softer yolk or 11 mintues for a dry yolk. Remove pan from heat and place in sink. As the pan is emptied of the hot water, run cold tap water over the eggs, then fill the pan with running water until the pan is cool. Let eggs sit for about 10 minutes until cold, adding a little more cold water if the water becomes warm.