Add lobster and shrimp meat to the bowl of a food processor and pulse until it’s somewhat ground. You can also chop the lobster and shrimp very finely with a sharp knife.
Remove and add the seafood to a bowl with the Panko bread crumbs, gruyere, lemon zest, cayenne, salt and pepper. Mix with a spoon until just combined. Form into 6 equally sized burgers. Place the burgers on a plate, cover and place in the fridge for 15-30 minutes.
Meanwhile make the aioli and salsa. In a heavy-bottomed sauce pan add the butter and melt over medium heat until just browned. Butter will melt, foam, and froth, and then begin to brown along the bottom. Whisk the browned butter bits off of the bottom of the pan and set aside to cool.
Meanwhile add the mayo, lemon juice, sweet thai chili sauce, garlic, pinch of cayenne, salt and pepper to a medium sized bowl. Stir in the cooled brown butter and whisk until smooth and combined, cover and place in the fridge until ready to use.
To make the salsa cut the kernels off the grilled corn and add them to a medium size bowl. To the bowl add the peach, basil, jalapeño, lemon juice and a pinch of salt. Give everything a good toss. Store, covered in the fridge until ready to use.
When you are ready to eat, heat a large skillet over medium heat. Add 1 tablespoon butter and allow it to melt. Swirl the butter around the pan and add as many burgers as you can fit without crowding the pan. Cook the burgers for 5-8 minutes per side or until cooked through. Be gentle when flipping the burgers as they can break easier than your typical burger.
Spread the bottom of each toasted burger bun with as little or as much aioli as you wish. Add the burger patties, sliced avocado and bacon. Top that with the Basil Corn + Peach salsa. Add the top bun and dive in!