In a martini shaker, muddle the basil leaves with the ice, crushing them until they are in small pieces. Add the cucumbers, syrup, gin, and lemon juice, place top on shaker, and shake until well blended. Pour a chilled glass, adding and serve!
*To make agave syrup, heat 1/2 cup water and 1/2 cup agave until agave is evenly dissolved in water. Cool completly and store in the fridge.