Put oven rack in lower third of oven and preheat oven to 475°F Brush a large shallow baking pan with oil (2 tablespoons).
Pulse crackers in a food processor until finely ground, then transfer to a wide shallow bowl and stir in 1/2 teaspoon pepper and 1/4 teaspoon salt. Toss tenders with mustard in a large bowl until coated, then dredge, 2 at a time, in cracker crumbs until evenly coated. Arrange tenders in 1 layer, without crowding, in oiled pan. Bake, turning over once, until golden brown, about 15 minutes total.