Many Indian banks offer free airport lounge access in India but these are actually provided by the Visa and Mastercard tie ups with the Lounges.
Here is a list that I could obtain by googling.
Also please ensure you have the correct Visa or Mastercard version of credit card
Visa has variants like Visa Platinum, Visa Signature etc.
Mastercard has Mastercard World etc.
Also, it sometimes depends on the bank tie up as well. so YMMV
Please ensure that the list is valid before you decide you visit the lounge on your next trip 🙂