Trim fat on beef steaks to 1/4-inch thickness. Rub beef with garlic. Press pepper into beef. Cover and refrigerate 1 hour. Mix butter, mustard, Worcestershire sauce and lime juice; reserve.
Heat coals or gas grill. Cover and grill beef 4 to 5 inches from medium heat 16 to 18 minutes for medium doneness, turning halfway through grilling. Sprinkle with salt and pepper.
Place beef on warm platter; remove bone. Cut beef at slanted angle into thin slices. Serve with remaining butter mixture.
This recipe yields 4 servings.