Combine almonds, instant oatmeal, ketchup, corn, eggs, mushrooms, red bell pepper, red onion, green onions, olive oil, and horseradish in a bowl. Season with Worcestershire sauce, red pepper flakes, basil, salt, and pepper.
Fold black beans into the almond mixture, being careful not to smash them. Scoop up 1/2 cup of the mixture; lightly flatten between the palms of your hands to form a patty. Repeat with remaining mixture.
Coat a skillet lightly with cooking spray and heat over medium heat. Place patties in the hot skillet and cook until browned, about 7 minutes per side.