In a bowl combine burger ingredients. Form into six patties (slightly larger than the size of your brioche buns). Place a baking rack on a parchment paper covered baking sheet. Line the patties out on the rack and place in the oven for 25 minutes.
Remove patties from oven and place a slice of cheese on top of each patties. Return to oven for five minutes more.
Build the Burger: Start with the bottom bun, place a piece of lettuce, then red onion slices. Place cheeseburger next. Spread preserves on top bun and place atop the burger. Press down slightly to help hold it all together.