Prime p₀= 972866252642503757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 10 2 166 2 40 2 34 2 40 2 (?)
a_n: 0 2 102 104 114 116 282 284 324 326 360 362 402 404
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: 404
Found by: stoneageman
db: batch=76, k=14, 100 10 166 40 34 40

SPT(16)	972865242594926749	0 34 54 70 120 148 154 178 234 258 264 292 342 358 378 412	-1010047577008
SPT(16)	972865610641927703	0 38 186 198 224 228 236 270 374 408 416 420 446 458 606 644	-642000576054
TPT(14)	972865934290061261	0 2 6 8 30 32 48 50 60 62 126 128 168 170	-318352442496
SPT(16)	972866023740820211	0 32 48 90 162 176 186 200 228 242 252 266 338 380 396 428	-228901683546
SPT(16)	972866120227381847	0 80 104 120 132 146 162 164 192 194 210 224 236 252 276 356	-132415121910
STPT(10)	972866218016040287	0 2 30 32 60 62 90 92 120 122	-34626463470
TPT(14)	972866301659583479	0 2 78 80 108 110 150 152 198 200 222 224 288 290	49017079722
SPT(16)	972866304649372181	0 12 26 38 48 86 96 132 146 182 192 230 240 252 266 278	52006868424
STPT(10)	972866360424223217	0 2 30 32 42 44 54 56 84 86	107781719460
TPT(14)	972866530930377701	0 2 48 50 126 128 156 158 300 302 336 338 366 368	278287873944
SPT(16)	972866783680796591	0 30 38 42 110 138 146 156 182 192 200 228 296 300 308 338	531038292834