Next Palindrome - A possible New Problem

Clive, thanks a lot, it is ready now! Just upon reading your letter I understood that Christmas is coming in a couple of days so seemingly your problem becomes another Christmas puzzle :)

Meanwhile I recollected couple of similar puzzles in some book of my childhood:

• truck driver noticed 15951 reading on speedometer (rather, "kilometrage") and wondered "probably next symmetrical number won't pop up soon" - but it "popped" in two hours, so the question is the truck speed;

• the book is published in 1961 so we wonder when is going to happen next "rotational-symmetry" year (these seemingly happen more rare and it depends on which digits we consider "rotational" at all - I guess 1,2,5,6,8,9,0).

I, for one, would like to point out that the number for this problem is a palindrome.

Thanks, Clive. This is a nice one.