Tampa Cuban Sandwich

Name: Tampa Cuban Sandwich
Ingredients: 5 pounds boneless pork shoulder; 1/2 cup fresh lime juice; 1/2 cup fresh orange juice; 8 large cloves garlic; 2 teaspoons dried oregano; Kosher salt and freshly ground pepper; 4 bay leaves; 1 9-inch piece Cuban bread; 4 thin slices glazed ham (about 4 ounces); 3 to 4 thin slices Genoa salami with peppercorns (about 1 ounce); 2 thin slices Swiss cheese (about 1 ounce); 2 pickle slices; 1 tablespoon yellow mustard; Unsalted butter, softened, for cooking