Penn State Health Milton S. Hershey Medical Center is a 619-bed non-profit, tertiary, research and academic medical center headquartered in Hershey, Pennsylvania and serving central Pennsylvania. The hospital is owned by the Penn State Health System and is its largest hospital. MSHMC is affiliated with the Penn State University College of Mediciā¦Penn State Health Milton S. Hershey Medical Center is a 619-bed non-profit, tertiary, research and academic medical center headquartered in Hershey, Pennsylvania and serving central Pennsylvania. The hospital is owned by the Penn State Health System and is its largest hospital. MSHMC is affiliated with the Penn State University College of Medicine.