UniCare Share: HEALTH INSURANCEHEALTH ORGANIZATIONSHealth Care & Wellness (including Senior Care) UniCare Visit Website 300 Brickstone Square Andover, MA 01810 (978) 474-5108 LinkedIn Facebook Twitter Rep Info Map Whom to Contact David Morales General Manager Phone: (978) 474-5108 Send an Email LinkedIn What's Nearby? Distance: 5 10 15 20 25 50 mi.