Preheat oven to 350°F. Leaving the stem intact, cut a slit along the top of each pepper. Remove the seeds; set aside. In a small bowl combine goat cheese and snipped herbs. Spoon cheese mixture into prepared pepper. Arrange filled peppers close together on a baking sheet. Bake for 8 to 10 minutes or until cheese is heated through and peppers are crisp-tender.
Use tongs to arrange warm peppers on a serving dish, stacking peppers into a pyramid shape. Garnish with fresh basil leaves.