Ascension Medical Group - St. Vincent- Kokomo Primary Care. Primary Care/Clinic; Address. 615 Saint Joseph Dr Kokomo, IN 46901. Phone. 765-459-4070 Hours. Mon, Tue, Thurs, Fri: 8 a.m.-5 p.m. Appointments. ... The Patient Portal is an online service that provides patients secure access to their health information. Various features are available ....