Combine the syrup ingredients in a small saucepan. Bring to a boil and boil for 5 minutes, stirring until the sugar dissolves. Remove from heat and strain the mint leaves. Allow to cool at room temperature or place in the refrigerator. The syrup can be made a few days ahead of time.

When ready to serve, place the chopped mint leaves in the bottom of the serving pitcher. Add the syrup, freshly squeezed lime juice, and 8 cups of cold water. Taste and add additional water to taste (if necessary). If serving over ice, you might want to make it a tiny bit sweeter than you would normally like to account for the dilution from the melted ice.