If you have an electric water heater, either from Zojirushi or Panasonic, or whatever brand, then this is how to do it.
Get your water heater to bring the water to 208F (it should be one of the settings on the water heater).
Dispense the 208F water into a bowl, drop a room temp egg into the bowl, and just let it sit there, uncovered, for 10 minutes.
Then remove the egg and turn on the faucet and run some cold tap water over the egg for about 30 seconds to stop the cooking and allow for easier peeling.
The perfect 6-minute egg in 10 minutes!
And what, you might ask, is the "perfect" 6-minute egg? Well, in my mind it is where the egg whites nearest the shell are firm but not rubbery, and the whites nearest the yolk are soft, sort of like cottage cheese in texture if you will. And the yolk holds together but is still soft and runny, like thick stirred custard. In other words, it's like an over-easy basted egg that still looks like an egg.
Cheers and enjoy!
Picture below for illustrative purposes (and pic is not mine).