Set up your Weber Kettle grill – Fill your charcoal chimney fire starter with charcoal briquettes, and when ready, empty the chimney in the center of the charcoal grate and, with tongs, spread them around to form a neat pile.
Bring the porterhouse steak to room temperature – Let the porterhouse steak rest on a plate for 15 minutes. Then, wipe off the moisture and liberally apply the salt and pepper to both sides.
Place the porterhouse steak on the Weber Kettle grill grate – Place the porterhouse steak in the grill grate directly over the coals and grill for 5 minutes, then flip it over and grill for another five minutes. Check the internal temperature of the porterhouse steak in the thickest part with a meat thermometer. You’re looking for a temperature of 130 degrees for medium rare. Also, when you flip the steak, place the four lemon halves on the grill cut side down in order to char the lemon.
Make the thyme-butter – While the porterhouse steak is grilling, melt the butter in a sauté pan, add the thyme sprigs, and let it cook for a few minutes.
Remove the porterhouse steak from the Weber Kettle – Place the grilled porterhouse steak on a plate and let it rest for five minutes. Drizzle the thyme-butter over the porterhouse steak, then squeeze the grilled lemon over the steak. Carve and serve.