Prepare grill for indirect grilling. If using a gas grill, heat one side to medium high and leave one side with no heat. If using a charcoal grill, arrange hot coals on either side of charcoal grate, leaving an empty space in the middle.
Combine first 7 ingredients, stirring until well blended. Spread mustard mixture over fish; let stand 15 minutes.
Carefully remove grill rack. Place a disposable aluminum foil pan on un-heated part of grill. Carefully return grill rack to grill. Place fish, skin side down, on grill rack over unheated part. Close lid; grill 30 minutes or until fish flakes easily when tested with a fork or until desired degree of doneness. Remove fish from grill by inserting a spatula between skin and fish . Discard skin.
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