Prime p₀= 2913805406737124699 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 10 2 184 2 28 2 22 2 (?)
a_n: 0 2 18 20 60 62 72 74 258 260 288 290 312 314
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: 314
Found by: Landjunge
db: batch=82, k=14, 16 40 10 184 28 22

SPT(16)	2913804619754196577	0 16 52 54 70 112 126 166 180 220 234 276 292 294 330 346	-786982928122
STPT(10)	2913804757359347879	0 2 18 20 30 32 42 44 60 62	-649377776820
STPT(10)	2913804906815142677	0 2 30 32 42 44 54 56 84 86	-499921982022
SPT(16)	2913805001993518387	0 16 30 40 42 66 72 100 126 154 160 184 186 196 210 226	-404743606312
STPT(10)	2913805125706785509	0 2 42 44 90 92 138 140 180 182	-281030339190
TPT(14)	2913805390603130027	0 2 42 44 54 56 102 104 132 134 174 176 240 242	-16133994672
SPT(16)	2913805464933026011	0 10 18 66 82 96 148 208 300 360 412 426 442 490 498 508	58195901312
SPT(16)	2913805915225011901	0 28 58 66 118 132 136 162 196 222 226 240 292 300 330 358	508487887202
SPT(16)	2913806037922768381	0 12 28 120 150 178 180 208 210 238 240 268 298 390 406 418	631185643682
STPT(10)	2913806314921632041	0 2 6 8 18 20 30 32 36 38	908184507342
STPT(10)	2913806544169651901	0 2 78 80 138 140 198 200 276 278	1137432527202