Heat a grill pan over medium-high heat.
Gently combine the beef, salt, pepper and onions in a large bowl. Shape the mixture into 12 patties. Grill the patties on the pan until desired degree of doneness, about 5 minutes per side. Place some lettuce and patties on the bottom halves of the buns. Spread 2 tablespoons pimiento cheese over each patty. Add some fried eggs, onions, pickles and tomatoes. Top with the bun tops.