Trim tenderloins. Place pork tenderloin in a shallow bowl and cover with the pickle juice. Cover and marinate for 2 to 12 hours in the fridge. Rotate the tenderloins periodically if the marinade doesn't cover them completely.
Bring meat to room temperature for about 30 minutes before grilling.
Preheat gas grill before grilling to 400° F.
Drain the pork and pat completely dry with paper towels. Discard the marinade.
Sprinkle garlic, salt, pepper, and paprika over the entire tenderloins and rub.
Lightly grease the grill grates. Place tenderloin in the center of the grill and close the lid. Grill 4 to 5 minutes, or until the bottom has sear marks.
Rotate the meat, close lid, and grill 3 to 4 minutes. Repeat for the other two sides for a total of about 14 to 16 minutes, or until internal temperature reaches at least 145° F.
Remove pork from the grill and let rest at least 5 minutes before slicing and serving.