Agua Fresca de Sandia

• 8 cups watermelon pieces, (about 2 1/2 pounds), plus 8 small wedges
• 1 cup silver tequila
• 1/4 cup triple sec
• 4 to 6 limes, cut into wedges
• ice for serving

Using a blender or processor, puree the watermelon pieces in batches; strain into a large pitcher. Stir in the tequila and triple sec and refrigerate until cold, about 1 hour. Squeeze a few lime wedges into the agua fresca. Serve over ice, with additional lime and watermelon wedges on the side.