Prime p₀= 913026119486919239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 28 2 46 2 58 2 40 2 (?)
a_n: 0 2 18 20 60 62 90 92 138 140 198 200 240 242
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: 242
Found by: HenkM
db: batch=76, k=14, 16 40 28 46 58 40

TPT(14)	913023961661215511	0 2 240 242 246 248 336 338 438 440 456 458 546 548	-2157825703728
STPT(10)	913024148379858209	0 2 30 32 60 62 90 92 120 122	-1971107061030
SPT(16)	913024715153659561	0 10 22 36 48 70 78 90 148 160 168 190 202 216 228 238	-1404333259678
SPT(16)	913024751663816887	0 40 60 82 124 142 156 196 300 340 354 372 414 436 456 496	-1367823102352
SPT(13)	913025067612135167	0 72 114 204 240 294 312 330 384 420 510 552 624	-1051874784072
SPT(16)	913026011785940933	0 48 108 126 150 180 188 206 210 228 236 266 290 308 368 416	-107700978306
SPT(16)	913026420971474371	0 16 22 30 60 72 78 130 168 220 226 238 268 276 282 298	301484555132
SPT(16)	913026487726459283	0 74 84 108 126 128 158 170 204 216 246 248 266 290 300 374	368239540044
SPT(18)	913026725775899233	0 16 24 58 94 154 196 228 244 270 286 318 360 420 456 490 498 514	606288979994
TPT(14)	913026756856189397	0 2 90 92 144 146 162 164 204 206 210 212 270 272	637369270158
STPT(10)	913026812572951001	0 2 30 32 78 80 126 128 156 158	693086031762