After singletons, twins, triplets, quadruplets, quintuplets, sextuplets, septuplets, and octuplets, what comes next?
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We don't often need it, but the word is nonuplet.
Next after that comes decuplets, who according to the Guinness Book of World Records were born at Bacacay, Brazil on April 22, 1946. (I must admit I'm somewhat sceptical).
It's hard to be dogmatic about the spelling of a word that probably doesn't make it into many (if any) 'authoritative' dictionaries, but I will just say that - Wikipedia notwithstanding - I don't have much time for decaplets. Here's an NGram showing that not many others do either (in fact, there are 5 instances of decaplet in the NGram corpus, as opposed to 2450 decuplets).
Next is nonuplets followed by decaplets. I'm pretty sure there are no recorded decaplet births, let alone greater.
Update: After further investigation, I came across this image on Wikimedia Commons:
Related: The article "Multiple birth" on Wikipedia.