Hospital Automanager is the best and number one Hospital Management System Software with Website. It has 40+ Features what you need to manage Hospital. Here has Insurance, Modern Billing System and SMS Gateway also. It is developed by Codeigniter Framework.
Demo: https://codecanyon.net/item/hospital-automanager-advance-hospital-management-system-software/23225873
source http://www.codelist.cc/scripts/243067-hospital-automanager-v15-advance-hospital-management-system-software.html