Health Insurance Processing Center. P.O. Box 4405. Taunton, MA 2780. ... Health Connector. 133 Portland Street. Boston, MA 2114-1707. ... Central Processing Unit. P.O. Box 290794. Charlestown, MA 2129. ... Health Connector. 133 Portland Street. Boston, MA 2114-1707. ... Health Insurance Processing Center. P.O. Box 4405. Taunton, MA 2780.