Nope. The "supereruption" of the mid-2nd millennium is a modern invention. The only large ancient eruption dates to about 199 BC. If I weren't so blamed lazy (and fooling around at work) I'd hunt up the links, meanwhile, look up the keywords you'd expect, Thera, Santorini, Calliste (the former name, according to Herodotus), or Akrotiri (that's the name given the ancient town on the north side of the island).
I'm not sure what I should look for. We know that the isle of Santorini is shaped by a large volcanic caldera and the usual date given for a huge volcanic eruption there is about 1600 BC. Hammurabi's reign is recorded to have ended circa 1750 BC.
Given the often indefinite dating of ancient events, I wondered if any controversy had arisen about Hammurabi's dates. Instead the controversy apparently centers on the Santorini eruption.
You say - The "supereruption" of the mid-2nd millennium is a modern invention. When did the elder crowd decide the volcano at Santorini erupted and what ended Minoan culture? ?:^|