$n$-digit prime mid point for maximum pairs of $n$-digit primes

Question

Has anyone found which $n$-digit prime (or primes) is the midpoint for the maximum number of pairs of other $n$-digit primes? For four pairs $47$ is the midpoint for $(5,89), (11,83), (23,71)$, and $(41,53)$. I searched "balanced primes" with no success.