Combine oil, pepper, garlic and thyme. Brush over steaks to coat both sides. Brush potato slices with additional oil; season to taste with salt and pepper.

 

Place steaks in center of grill or pan, with potatoes around edges. Cook, covered, over medium-hot grill or medium-high heat about 5-6 minutes on each side for medium-rare steaks, or to desired doneness. Potatoes should be cooked 5-6 minutes per side, or until golden brown and tender. Serve wedges of lime to squeeze over steaks.