Stir together sage, thyme, salt, garlic, nutmeg, and cayenne pepper. Arrange pork shoulder, cut into 1/2-inch cubes, on a rimmed baking sheet. Freeze for 20 minutes. Working in 4 batches (1 pound at a time), grind meat in a food processor until only small pieces of fat remain, and mix in about 2 tablespoons spice mixture; transfer to an 8-by-12-inch piece of parchment. Roll into a log. Twist at ends to secure.
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