Drizzle a 12 inch cast iron skillet or similar oven safe skillet, with 4 Tbsp olive oil. Place into the oven and preheat to 450°F.
In a small bowl. mix together oil, lime juice, chili powder, cumin, salt, lemon pepper, paprika, garlic powder, onion powder, brown sugar and oregano until it forms a paste. Rub liberally on all sides of pork.
Carefully remove skillet from oven and swirl to coat bottom and 1 inch up sides of skillet. Place pork in pan. Return to oven and bake for 15 minutes.
Lower oven heat to 400°F. Turn pork and continue to cook another 10 minutes or to an internal temperature of 140-145°F.
Rest tented with foil for 10 minutes, slice and serve.