For the mint cubes, blend mint and ginger with water. Strain it and then pour it in the ice cube tray. Place the tray in the freezer to set.
For the lemonade, place 2 cups of water in a pot and bring to a boil. Switch off the heat and drop the tea bags into the pot. Allow it to steep for 3 minutes. Then, discard the tea bags.
Pour the cooled green tea into a pitcher and squeeze the fresh lemon juice. Drizzle in honey and pour 2 cups of cold water. Give it a stir and taste. If you prefer it sweeter, drizzle more honey. Add a few lemon slices and fresh mint leaves to the pitcher.
Serve with mint ice cubes.