1 cup Dijon mustard
2 tablespoons dark brown sugar
2 tablespoons kosher salt
2 tablespoons freshly ground pepper
1 tablespoon sweet paprika
1 tablespoon onion powder
One 12- to 14-pound bone-in pork shoulder, with skin
About 50 hardwood charcoal briquettes
8 cups small hardwood smoking chips, soaked in water for 30 minutes and drained
Eastern Carolina Sauce or variations, for serving
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