First, grab a 3 quart pot (or smaller is you are boiling fewer eggs). Gently add your eggs to the pot and cover completely with water. Bring the eggs to a gentle boil , uncovered, over medium-high heat. This is a gentle boil - meaning you're not letting it go crazy right now. You'll see tiny bubbles rising and the eggs will just slightly start to move. This is the point when you shut off the burner, cover the pot and set the timer for 18 minutes.
When that timer goes off, you have to move quickly. Pour as much water as possible out of the pan, then gently remove the eggs from the pot with a spoon. Transfer the eggs immediately into a bowl filled with ice water. Continue running the tap water over the eggs to keep the water from heating up.
Drain the water and place the eggs in a sealed container in the refrigerator for up to 5 days.