Heart & Vascular Clinic - Newark. 620 Stanton Christiana Road, Suite 203, Newark, DE 19713-2130 Phone: (302) 338-9444 Phone: (302) 338-9444 Heart & Vascular Clinic - Middletown. 212 Carter Drive, Suite D, Middletown, DE 19709 Phone: (302) 261-8200. Heart & Vascular Clinic - Wilmington New.