Prime p₀= 972867732392445269 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 4 2 148 2 112 2 94 2 (?)
a_n: 0 2 42 44 72 74 78 80 228 230 342 344 438 440
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: 440
Found by: Theadalus
db: batch=76, k=14, 40 28 4 148 112 94

TPT(14)	972866530930377701	0 2 48 50 126 128 156 158 300 302 336 338 366 368	-1201462067568
SPT(16)	972866783680796591	0 30 38 42 110 138 146 156 182 192 200 228 296 300 308 338	-948711648678
STPT(10)	972866816410942457	0 2 54 56 132 134 210 212 264 266	-915981502812
STPT(10)	972866935406022731	0 2 6 8 48 50 90 92 96 98	-796986422538
SPT(16)	972867113503109173	0 6 16 46 66 100 108 118 126 136 144 178 198 228 238 244	-618889336096
SPT(16)	972867239632693829	0 20 42 90 98 168 198 210 272 284 314 384 392 440 462 482	-492759751440
STPT(10)	972868185912848039	0 2 12 14 90 92 168 170 180 182	453520402770
SPT(16)	972868466723312683	0 16 18 84 118 154 298 300 304 306 450 486 520 586 588 604	734330867414
SPT(16)	972868479533460409	0 12 78 102 148 154 250 298 324 372 468 474 520 544 610 622	747141015140
SPT(16)	972868586022625001	0 2 8 20 56 68 78 90 128 140 150 162 198 210 216 218	853630179732
SPT(16)	972869167420883077	0 24 30 46 70 112 144 156 190 202 234 276 300 316 322 346	1435028437808