Prime p₀= 2950574389685179349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 52 2 16 2 178 2 46 2 (?)
a_n: 0 2 78 80 108 110 162 164 180 182 360 362 408 410
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 410
Found by: [SG-FC] hl
db: batch=82, k=14, 76 28 52 16 178 46

TPT(14)	2950572726598206131	0 2 36 38 48 50 78 80 90 92 120 122 366 368	-1663086973218
STPT(10)	2950572859375370027	0 2 30 32 42 44 54 56 84 86	-1530309809322
SPT(16)	2950573413099945131	0 38 56 78 80 90 92 108 140 156 158 168 170 192 210 248	-976585234218
STPT(10)	2950573626658585271	0 2 36 38 78 80 120 122 156 158	-763026594078
STPT(10)	2950573678543268387	0 2 30 32 42 44 54 56 84 86	-711141910962
STPT(10)	2950573716028776749	0 2 18 20 30 32 42 44 60 62	-673656402600
STPT(10)	2950574473193782031	0 2 36 38 78 80 120 122 156 158	83508602682
SPT(16)	2950574503896565349	0 12 30 44 60 84 90 104 108 122 128 152 168 182 200 212	114211386000
SPT(16)	2950574601868523489	0 2 84 122 158 168 194 200 222 228 254 264 300 338 420 422	212183344140
STPT(10)	2950574986474257347	0 2 30 32 102 104 174 176 204 206	596789077998
SPT(16)	2950575727052272807	0 12 34 46 76 96 120 144 232 256 280 300 330 342 364 376	1337367093458