For those who read the comments here on HN before reading the article, this thread contains more than just the self-enumerating tweet, it also talks about versions in multiple languages, how to search for such things, and a computer language that compiles to SAT.
There's more in the thread than just the curiosity.
I'm glad you pointed that out, since I thought it would just be a quote from Hofstadter's Metamagical Themas. The initial self-enumeration is just the kick-off for a more interesting thread that takes you on a bit of an emotional techy roller coaster.
I wrote a program in Lisp way back when that reproduces this kind of sentence, and allowed you to begin and end with any phrase bits you wish (eg: You might find it highly unlikely, but I can tell you that this sentence actually contains..., commas and a single exclamation mark to finish it off!) It was ugly but it worked. And thankfully didn't take 22 days since some word combinations did indeed lead to a fail.
I think it might have actually been Hofstadter's writing, and this exercise specifically, that got me interested in Lisp in the first place.
There's more in the thread than just the curiosity.