Has the Gödel sentence been explicitly produced?
I have once played around with this stuff myself and obtained this example of such a sentence. The long thing at the end of that page (there are in fact two long things, just minor variants if I recall it correctly).
I was searching for an explicit representation of the Gödel sentence as well, and I found one today, only after reading your question here, so I share what I found: https://web.archive.org/web/20160528092209/http://tachyos.org/godel/Godel_number.html
Unfortunately it is not mentioned, what is the precise theory, what are the coding numbers of symbols, and what are the coding/decoding functions (hopefully these are consistent with Chaitin's book mentioned on right of the page), so the number is not really meaningful in its own, but at least gives an order of magnitude (if it is correct).