Make four foil packs with four pieces of aluminum foil, about 1"x1".
Divide potatoes, pizza sauce (about three heaping tablespoons per pack), cheese, pepperoni, and basil between all four foil packs. Fold foil over to seal. Grill or bake for 20 to 25 minutes or until potatoes are fork tender and cooked through.
If you're looking for browned and bubbling cheese, park the foil packs under a high broil for 1 to 2 minutes.