Bring the orange zest, cinnamon sticks, cloves, ginger, water, and sugar to a boil in a small heavy saucepan, stirring until the sugar has dissolved. Reduce the heat and then simmer, covered, 5 minutes. Remove from the heat and let steep, uncovered, for 1 hour.
Strain through a fine-mesh sieve into a bowl, discarding the solids.
Combine the remaining ingredients with the spiced syrup in a punch bowl and stir. Add ice before serving.