Dandy Watermelon-Jalapeño Margarita

8 c. cubed watermelon
1 ½ c. white tequila
½ c. orange liqueur such as Triple Sec
½ c. fresh lime juice
¼ c. Simple Syrup (can be bought or home-made)
1-2 fresh jalapeno peppers, seeded and thinly sliced
Cracked ice
Garnishes: Fresh jalapeno slices, watermelon wedges

1. Puree watermelon in batches in a blender or food processor.
2. Pour puree through a fine wire-mesh strainer, pressing with the back of a spoon.
3. Discard pulp and seeds.
4. Combine watermelon liquid, tequila and next 4 ingredients in a large pitcher.
5. Cover and chill for at least 2 hours.
6. Serve over ice and garnish.