Pulse ham (1 pound) in a food processor until, finely chopped.
In a medium bowl, combine cream cheese (8 ounces), red onion (1/4 cup), celery (1/2 cup), relish (1 tablespoon), Creole mustard (1 tablespoon), and black pepper (1/4 teaspoon). Fold in ham. Adjust seasoning and serve.