Add hog casings to a medium bowl and rinse under cold water, draining and rinsing a few times. Fill bowl with cold water and set aside.
In a large bowl, mix together the pork shoulder chunks, paprika, minced garlic, kosher salt, liquid smoke, red wine, sugar, white pepper, black pepper, fresh oregano, and chipotle powder until well seasoned.
Using your meat grinders coarse grind plate, pass the seasoned pork mixture through into a large bowl until all meat is ground.
Tie a knot in one end of the hog casings and thread the open end onto the sausage stuffer attachment. Add ground pork mixture and fill the casings per manufacturer's instructions. Twist into links as the mixture is filling the casings. Tie a knot in the end.
Preheat smoker to 250ºF. Place the sausage coil on the smoker and cook for 45 minutes, flip the sausage links over and continue smoking for another 45 minutes, or until internal temperature is 160ºF. Remove from smoker.
Cool sausage to room temperature before storing in an airtight container or freeze in a zip top bag or FoodSaver bag.