Sequence of 8 Consecutive Primes with Same Pattern of Differences as from 11

Theorem
The $8$ prime numbers starting at $15 \, 760 \, 091$ have the same prime gaps as the $8$ primes starting at $11$.

Those $8$ primes are:
 * $15 \, 760 \, 091, 15 \, 760 \, 093, 15 \, 760 \, 097, 15 \, 760 \, 099, 15 \, 760 \, 103, 15 \, 760 \, 109, 15 \, 760 \, 111, 15 \, 760 \, 117$

Their prime gaps are:
 * $2, 4, 2, 4, 6, 2, 6$

The $8$ primes starting at $11$:
 * $11, 13, 17, 19, 23, 29, 31, 37$

Their prime gaps are:
 * $2, 4, 2, 4, 6, 2, 6$