So among the less populated set of same final digit-ed sequential primes is the next-digit-more-significant anti-correlated (to mitigate its 'misbehavior' ;)?

So among the less populated set of same final digit-ed sequential primes is the next-digit-more-significant anti-correlated (to mitigate its 'misbehavior' ;)? In a sense, how likely does this unusual homo-digitalism rise once our focus on the final digit is shifted?