Combine cinnamon, cardamom, cloves, and peppercorns in a heavy-duty zip-top plastic bag. Crush spices with a rolling pin. Toss together spices, ginger, and tea until blended.
Bundle 1 1/2 Tbs. tea mixture in a double layer of cheesecloth. Tie cheesecloth tightly with one piece of twine. Repeat with remaining tea mixture, cheesecloth, and twine.