Using a muddler or the handle of a wooden spoon, mash the lime wedges, 2 cucumber slices, strawberry, simple syrup, and balsamic vinegar in a 16 ounce mixing glass or cocktail shaker 4-5 times, just to release the juices and oils.
Add gin. Transfer to an Old Fashioned glass. Fill halfway with crushed ice. Stir. Then mound more crushed ice on top.