Consecutive Primes of form 4n+1

Theorem
The sequence of $16$ consecutive prime numbers beginning from $207 \, 622 \, 273$ are all of the form $4 n + 1$.

Proof
Note that the $11 \, 477 \, 481$st prime:
 * $207 \, 622 \, 271 = 4 \times 51 \, 905 \, 568 - 1$

and the $11 \, 477 \, 498$th prime:
 * $207 \, 622 \, 567 = 4 \times 51 \, 905 \, 642 - 1$

and so are not of the form $4 n + 1$.