Prime p₀= 2136254880946950767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 40 2 166 2 40 2 88 2 (?)
a_n: 0 2 54 56 90 92 132 134 300 302 342 344 432 434
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: 434
Found by: Time_Traveler
db: batch=80, k=14, 52 34 40 166 40 88

SPT(16)	2136254119476337963	0 84 120 130 168 186 190 196 198 204 208 226 264 274 310 394	-761470612804
STPT(10)	2136254193711215717	0 2 12 14 42 44 72 74 84 86	-687235735050
STPT(10)	2136254201661155099	0 2 18 20 30 32 42 44 60 62	-679285795668
SPT(16)	2136254248198236121	0 18 28 40 70 76 82 90 238 246 252 258 288 300 310 328	-632748714646
SPT(18)	2136254676966276751	0 118 126 136 150 192 202 240 262 366 388 426 436 478 492 502 510 628	-203980674016
TPT(14)	2136254838950176949	0 2 30 32 90 92 180 182 222 224 252 254 270 272	-41996773818
SPT(16)	2136255023936529029	0 18 74 98 200 204 224 228 284 288 308 312 414 438 494 512	142989578262
STPT(10)	2136255649541668307	0 2 42 44 102 104 162 164 204 206	768594717540
SPT(16)	2136255717369571871	0 38 56 170 206 210 218 240 266 288 296 300 336 450 468 506	836422621104
SPT(18)	2136255841795419011	0 72 110 120 128 150 152 156 192 266 302 306 308 330 338 348 386 458	960848468244
SPT(16)	2136256046634388181	0 18 60 90 126 132 140 150 248 258 266 272 308 338 380 398	1165687437414