I remember this from one of John Ciardi's columns long ago -- said to be the response of a suburban nudist to a neighbor complaining that his wife was getting annoyed:

"Named undenominationally rebel, I rile Beryl? La, no! I tan! I'm, O Ned, nude, man!"

Maybe not the most brilliant ever, but any palindrome that uses a word as long as "undenominationally" deserves credit just for that.