Wash and chop four ripe peaches, discarding the pits, while keeping the skin for added flavor.

In a medium saucepan, combine chopped peaches, two cups of cold water, and half a cup of sugar. Bring to a gentle boil over medium heat and let it simmer for 5 to 7 minutes.

Remove from heat and let cool for about 10 minutes before transferring to the refrigerator to chill for 30 minutes.

Strain the peach mixture over a large bowl or pitcher using a fine mesh sieve, pressing down to extract as much liquid as possible.

In the pitcher with the strained peach liquid, stir in two cups of cold water and add the freshly squeezed juice of two lemons. Serve over ice, garnished with fresh mint leaves and peach slices.