Put the mint leaves and blackberries into a glass and muddle them together. (PS - if you don't have an actual muddler, you can use the handle end of a wooden spoon in a pinch.) Fill glass with ice. Pour rum and simple syrup on top, then fill glass with mineral water.
It really is a simple recipe - and you can easily substitute other berries - or even mix and match. Wouldn't strawberries be yummy? Or maybe mix raspberries and blackberries, too.
No matter if you stick with blackberries or add your own flair, just garnish your glass with the topping of your choice and slip away into your own personal paradise!