Are $6$ and $626$ the only palindromic numbers of the form form $5^x+1$?

Question

I noticed that $5^1+1=6$ and $5^4+1=626$ are both palindromic numbers.

Are there any palindromic numbers other than $6$ and $626$ that is form of $5^x+1$? X must be a positive integer.

I think there are other palindromic numbers that is form of $5^x+1$, since $5^{14}+1$ starts with $6$ and the first 3 digits of powers of 5 can be $626$.