In a food processor or blender, chop green olives, black olives, and artichoke hearts in batches until just spreadable; pour into a mixing bowl. Puree banana peppers and red bell pepper until just spreadable; mix into olive mixture.
Stir in garlic, capers, basil, lemon juice, and olive oil until well blended. Tapenade will keep in refrigerator for up to 1 week.
