If puncture resistance and not stopping for anything tire related is a priority then there's probably nothing better than the Schwalbe marathon plus. It's a surprisingly fast tire, but it only starts getting comfortable with heavy loads. My wife commutes with them because not being late for any reason is a priority for her.

I use (for now) marathon mondials because I don't care if I have to take a later train due to a flat. But the puncture protection isn't nearly as good as with the marathon plus. I've only ever seen one flat with a marathon plus (piece of gravel shaped like a long arrowhead cut its way through the tire) but I have seen multiple flats with tires that only have a "fabric" anti puncture layer (vectran, kevlar, dyneema, etc).

Gatorskins use a "fabric" layer, ie. vectran. It's quite effective as anti puncture layers go but it doesn't shine a light against schwalbe marathon plusses.