I will help you here to get the names of the IIMS that conduct executive Distance learning program for there students.

Here I have some names of the IIMS that conduct this program

IIM Calcutta

IIM Banglore

IIM Kozhikode

IIM Lucknow

Here is the eligibility criteria to apply for the program
Depending on the particular course that you wish to pursue in IIMS
The eligibility criteria would always be different.
Should have Bachelor/CAs/ICWA with no less than 1 year of work experience
The candidates who taking admission to IIM distance program need to take a national level exam, then clear one interview and pay the request fee for the course.

Here are the executive Distance learning programs conducted by the IIMS
IIM Kozhikode Programs
Executive Post Graduate Program (ePGP) – 2 Year Program, Fee is 5 lakhs, 5 year work ex, Graduates/CA/ICWA are eligible, national level exam is conducted for students, followed by an Interview.
Executive Education Program in General Management – 1 Year Program, 2.63 Lakh fee, rest same as above
Executive Education Program in Strategic Management – 1 Year Program, 1 Lakh Onward Fee, rest same as above
Executive Education Program in Operations Management
Executive Education Program in Finance

IIM Calcutta Courses
Executive Program in Business Management
Executive Program for Young Professionals
Executive Program in Global Business Management
Executive Program in International Business
Executive Program on Business Analytics
Executive Program in Sales and Marketing

IIM Banglore Correspondence Courses
Management Program for Women Entrepreneurs
Executive General Management Program
General Management Program for IT Executives
Advanced Management Program
Advanced Financial Risk Management