1. In a small bowl, mix the first 6 ingredients. Reserve 1-1/3 cups for basting; cover and refrigerate. Divide remaining marinade between 2 large shallow dishes. Add 12 chicken thighs to each; turn to coat. Refrigerate, covered, for 8 hours or overnight.
2. Drain chicken, discarding marinade.
3. Grill chicken, covered, on an oiled rack over medium heat for 6-8 minutes on each side or until a thermometer reads 170°; baste occasionally with reserved marinade during the last 5 minutes.