The older the egg, the easier it should be to peel. You can try steaming the eggs. Bring a pot of water to a boil. Not a lot of water is needed. Place a half-dozen eggs in a steam basket then place said basket atop the pot. Cover and let sit for 13 minutes. Once done, remove the eggs from the steam and let sit and cool naturally (i.e., no need to shock them with cold water).