Prime Gaps of 18

Theorem
After the prime gap of $14$ between the pairs of consecutive prime numbers:
 * $\left({113, 127}\right), \left({293, 307}\right), \left({317, 331}\right), \ldots$

the next prime gap which is greater than $14$ is between the pair of consecutive prime numbers:
 * $\left({523, 541}\right)$

for a prime gap of $18$.

Proof
Demonstrated by listing the prime gaps.