Fold a 36x18-inch piece of heavy foil in half to make an 18-inch square. Place apple slices in center of foil. Top with raisins. Combine brown sugar and apple pie spice; sprinkle over fruit. Dot with butter. Scatter cinnamon sticks and whole cloves over apples. Bring up 2 opposite edges of foil; seal with a double fold. Fold remaining edges to completely enclose fruit, leaving space for steam to build.
For a charcoal grill, place packet on the rack of an uncovered grill directly over medium coals for 20 to 25 minutes or until apples are tender, turning occasionally. (For a gas grill, preheat grill. Reduce heat to medium. Place packet on a grill rack over heat. Cover and grill as above.) Remove cinnamon sticks and whole cloves before serving. Makes 4 servings.