Prepare the fruit mixture, combining the pineapple, apple, oranges, basil, onion, lime juice, cumin, and cayenne pepper in a large bowl. Cover and refrigerate for up to 2 days, and be sure to allow ham to marinate for at least 4 hours prior to baking and serving.

Place ham on a rack in a shallow baking pan. Score the top in a diamond pattern. Insert a meat thermometer. Bake, uncovered, in a 325-F degree oven for 1 1/2 to 2 hours, or until thermometer registers 140-F degrees.

To serve, slice ham and pour a hearty line of the fruit mixture over the row of slices. You may serve any leftover fruit mixture as a compote, on the side.

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