lol, a smidge behind you:
6 (12)-character palindrome address
1LzzzPV9dNbKsk4b6PNaZJTqTm36PzzzL1
Proof:
afe1d9a09ff8e810b1a02eb60609051c85ac37d2a46c6bf9300a457e9e72933a (sha256 of public key, comp)
cool! triple points for the triple zeds
I found a couple more 6 (12), but I suppose the next milestone is now 7 (14) for base58 palindromes
all-number h160s (40 numbers) seem incredibly abundant, so I'm discounting these, but finding leading-letter h160s seems more challenging. so far my highest is 24 with aebecfcecaceafcbefcdfcbb489f7d6aea18934d
32-length base58 seem quite plentiful, but I've found nothing lower yet
I haven't looked at pubkeys, xpoints or real-words yet, but will do soon
I like the way you are thinking lol. Just find something unique and run with it. 24 consecutive alpha hex is pretty impressive!
If you find something good, just post what it is and the proof, I'll add it in somewhere.