Actually, you don't boil them. Put your eggs into cold tap water to cover and bring the water TO the boil. Cover the pot, turn off the heat and let it stand for 20 minutes. Then set the pot in the sink and run cold water into the pot until the water in the pot is COLD. At that point your eggs should be ready to peel and they won't be hard and dry.
jamie, the best technique, imo, comes from Kenji Alt Lopez. It involves steaming :
http://www.seriouseats.com/recipes/2014/04/steamed-hard-boiled-eggs-recipe.html
Also depends on the size of your eggs. I typically use large or XL eggs (I'm in NYC, which is basically sea level), and it takes about 9 minutes. You might boil them longer, but I prefer the yolks to be just barely solid. I find that the texture and flavor is much more desirable (brighter color too).
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