Preheat oven to 350°F.
Rinse chicken breasts, pat dry, and pace in a 7 x 11 inch baking dish.
Combine lime juice, cilantro, mustard, olive oil, chili, salt and pepper in a food processor.
Pulse until ingredients are well combined.
Pour marinade over chicken, cover and refrigerate for at least 15 minutes or up to 6 hours.
Bake at 350°F for 22 minutes uncovered, or until an instant read thermometer reads 165°F.
Serve with extra sauce spooned over top.