Largest 5-digit palindrome in base 16, where each digit appears at most twice

What is the largest number $$x$$ such that $$x_{16},$$ i.e. $$x$$ in base 16, is a 5-digit long palindrome, where each digit appears at most twice? A palindrome is a number that reads the same forward as it does backward, such as 737 or 24542.

• Welcome to Puzzling! Is this a puzzle you created yourself? If not, please edit in a source (such as a link). We have an attribution policy, and unsourced puzzles will be closed and perhaps deleted. Mar 22 '21 at 23:52
• @bobble It's Purely original, for a class I'm teaching! Mar 22 '21 at 23:55
• Isn't the answer completely trivial? Or am I missing something? Mar 23 '21 at 0:06
• @loopywalt it is... lol Mar 23 '21 at 0:06