In a small bowl, mix together ⅛ cup of soy sauce along with the sesame oil, ginger, brown sugar and vinegar. Place the marinade in a large ziplock bag along with the pork chops. Marinate the pork in the refrigerator for 30-60 minutes.
While the pork marinates, prepare your toppings. Wash the butter lettuce and gently separate the leaves from the head. Set aside to dry on a towel. Thinly slice the radishes and jalapeño and set aside. Chop the cilantro and set aside.
Heat a grill to 400°F. Cook the pork chops until the internal temperature of the meat reaches 145°F. Remove the pork from the grill and onto a plate. Cover with foil and allow to rest for 10 minutes.
While the pork rests, cube the avocado and add to a bowl along with the remaining 4 teaspoons of soy sauce. Gently toss to combine.
When the pork has rested, thinly slice it against the grain.
To assemble the wraps, lay two lettuce leaves on a plate so that they slightly overlap each other at the ends to create a longer "wrap". Place a few slices of pork on top of the lettuce and add the desired amount of toppings - the radish, pickled carrots, jalapeño, cilantro and seasoned avocado. Finish with a dollop or two of mayonnaise. Roll the wraps up like a burrito and enjoy! This recipe serves 4.