Minus 20 for the 4-all-same that you have counted *three* times so far.
1111 4-all-same 111 1 3+1 1 111 1+3
And minus 10 for the 4-all-same that you have just counted for a fourth time.
1111 4-all-same 111 1 3+1 1 111 1+3 11 11 2+2
No, it's 296 keys, or just *under* 3% of the total keyspace.
And you might want to include numbers like 8901 9012 and their reverses for another 4, and numbers like 2468 1357 3579 and reverses (6 more), and maybe 2357 (all the single digit primes, both ways = 2 more). There's probably more - e.g. for the historically-minded, consider 4776 and 7476 (from 4 July 1776)