Remove the mint leaves from the stems. Wash, rinse, and dry the leaves, removing any dirt particles. Heat the filtered water. Place the mint leaves in a strainer over a medium-large bowl, and pour the hot water over the leaves. Make sure the leaves remain submerged in the hot water. Cover with foil and let steep for 5-10 minutes.
Once the tea is finished steeping, remove the strainer and discard the leaves. If adding honey, stir a little in now while the tea is hot. Pour the tea into a pitcher, let it cool. Then, place it in the fridge to get cold. Serve over ice with a little sprig of mint.