To take it a little further, what I was even more specifically interested in was a sequence of primes following the principle of a gray code [1] where each subs

To take it a little further, what I was even more specifically interested in was a sequence of primes following the principle of a gray code [1] where each subsequent prime would differ from the previous prime by precisely one bit. So basically, what is the longest sequence of primes you could find following that pattern? [1] https://en.wikipedia.org/wiki/Gray_code https://en.wikipedia.org/wiki/Gray_code