Well, here's the results of the latest trial. 166F bath for 13 minutes, 30 seconds. Egg #1 went into a boiling water bath for 30 secs, Egg #2 in the boiling bath for 1 min. Then both went into the cold water bath for about a minute.
Egg #1 has a seriously runny white (had to use a spoon to eat it), but almost perfect yolk - a tad firm, but still pretty runny.
Egg #2 has such a firm white that I had to scoop it out of the shell. But the interesting part was that I also had to scoop out the yolk. Never had to do that before. And, as expected, the yolk was much firmer, with just a tad of runnyness left, mostly creamy.
Egg #2 on the left, Egg #1 on the right.
Next trial - both eggs @ 166F for 13 minutes, 30 seconds, into the boiling water bath for 45 secs, then the cold water bath.