Peel limes and lemon, being careful to take only the colored part of the peel, not the white. Slice the peel into strips. Put the peel into a small saucepan and cover with water. Boil for 15 minutes. Drain.
Place the berries, sugar, juice of the limes and lemon, boiled peel and the ginger into a large nonreactive saucepan. Cook over medium heat until the mixture reaches the jelling stage (220 degrees F). Ladle into clean sterilized jars. Seal according to manufacturer's instructions.