Prime Gap of 654

Theorem
There exists a prime gap of $654$ between $11\,000\,001\,446\,613\,353$ and $11\,000\,001\,446\,614\,007$.

Proof
$11\,000\,001\,446\,613\,353$ is a prime number.

$11\,000\,001\,446\,614\,007$ is a prime number.

It can be checked that all numbers between these two are composite.