Combine the juice, lime bodies and sugar in a 5-quart container. Add the tea and stir until the sugar dissolves completely, 2 to 3 minutes. Add the Batavia Arrack and stir to combine. Chill to at least 40 degrees, approximately 1 hour in the refrigerator.
Strain the punch into a punch bowl over a large ice block and serve with freshly grated nutmeg.