Step 1 In a pitcher, muddle 12 of the lime slices, 16 cucumber slices and 4 sprigs mint to release their juices. Add the lemon juice and sugar and stir until the sugar is dissolved. Stir in the club soda to combine. Divide the lemonade into four tall glasses and fill the remainder of each glass with ice. Garnish each glass with 1 slice cucumber and 1 sprig mint. Serve immediately.