Build a 2 zone fire for indirect heat by adding lit charcoal to one side of the grill.
Add the grill grate, clean and oil.
Cover the grill and allow it to preheat to 350 - 400 degrees F, adjusting air vents as needed.
Prep the pork
Pat the tenderloin dry with paper towels. Trim the pork of silverskin.
In a small bowl, mix to combine the lime juice, mustard, and soy sauce.
Rub the mixture over the pork on all sides.
Then season the meat with the coriander and salt.
Grill the pork tenderloin
When the grill is hot, sear the pork on the hot side of the grill, rotating as needed to form a crust on all sides. About 4 minutes per side.
Transfer the pork to the cooler side of the grill, and cover the grill.
Allow the pork tenderloin to finish cooking on the grill until the internal temperature reaches 140 degrees F with a digital meat thermomter about 10 more minutes.
Rest and Serve
Transfer the pork to a cutting board, tent it loosely with aluminum foil, and let rest for 10 minutes. As the pork rests, the internal temperature will continue to rise to 145F.
Thinly slice the pork crosswise into ¼-inch-thick pieces. Serve with desired toppings, sauce, or glazes on top and more on the side for those who want it.