Prime p₀= 974592988330767779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 130 2 10 2 76 2 40 2 (?)
a_n: 0 2 78 80 108 110 240 242 252 254 330 332 372 374
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: 374
Found by: stoneageman
db: batch=76, k=14, 76 28 130 10 76 40

SPT(16)	974592070679263921	0 22 40 82 100 150 162 192 280 310 322 372 390 432 450 472	-917651503858
SPT(16)	974592295533576737	0 14 20 26 44 54 62 86 90 114 122 132 150 156 162 176	-692797191042
SPT(16)	974592380941614931	0 28 40 66 72 100 130 132 136 138 168 196 202 228 240 268	-607389152848
SPT(16)	974592695735888759	0 8 14 62 92 98 122 140 252 270 294 300 330 378 384 392	-292594879020
SPT(16)	974592723791706451	0 28 48 76 126 130 168 180 286 298 336 340 390 418 438 466	-264539061328
SPT(16)	974592777299580343	0 10 120 160 234 238 240 268 336 364 366 370 444 484 594 604	-211031187436
SPT(16)	974593034906293519	0 12 118 124 138 142 160 168 274 282 300 304 318 324 430 442	46575525740
STPT(10)	974593103430706787	0 2 24 26 42 44 60 62 84 86	115099939008
SPT(16)	974593125416844673	0 24 46 84 94 120 150 174 190 214 244 270 280 318 340 364	137086076894
STPT(10)	974593131472082789	0 2 42 44 60 62 78 80 120 122	143141315010
TPT(14)	974593248411452669	0 2 30 32 60 62 102 104 150 152 192 194 228 230	260080684890