I have a very complicated method of hard cooking 14 or 15 eggs. I use a 4 quart deep kettle. I put a steaming basket in it and the egg rack from a Sunbeam egg cooker on top of that. I add enough water to make it below the level of the steamer rack. I pierce the wide end of each egg on the spike in the middle of the egg rack. I fill the ring of the Sunbeam rack, placing the narrow end down. Once I fill the ring, I start another ring of eggs between the eggs in the rack and the walls of the pan. Lastly, I place an egg in the middle hole of the Sunbeam rack with the spike. I place the pan over high heat until steam escapes then lower it to medium-low and steam them for 15 minutes. When the time is up, I put the pan in the sink and overflow it with cold water until the water runs cold over the top. Holding the eggs in place with my hand, I tip the pot to drain it way down then add 4 cups of ice cubes and let it sit until the ice is mostly melted. I store the eggs in a Tupperware container so that they don't make the ice cubes stinky. I put a paper towel in the bottom of the container to absorb moisture and they last a week. I have two each morning with various toppings: capers, kimchi and thousand island dressing and various other sauces or salad dressings. My mind works strangely at 3:40 in the morning.
As for peeling, I rap the wide end sharply on the edge of a Corning Counter Saver to crack it, then apply hot water. I either run a gentle stream from the instant hot over the wide end of the egg or boil a quarter cup of water in the microwave and dip the wide end of the egg in it. The shell practically falls away from the egg in big sections. The hot water factor in peeling eggs was given to me by my friend Becky Hirsch.