Prime p₀= 972866530930377701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 28 2 142 2 34 2 28 2 (?)
a_n: 0 2 48 50 126 128 156 158 300 302 336 338 366 368
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: 368
Found by: stoneageman
db: batch=76, k=14, 46 76 28 142 34 28

SPT(16)	972866120227381847	0 80 104 120 132 146 162 164 192 194 210 224 236 252 276 356	-410702995854
STPT(10)	972866218016040287	0 2 30 32 60 62 90 92 120 122	-312914337414
TPT(14)	972866252642503757	0 2 102 104 114 116 282 284 324 326 360 362 402 404	-278287873944
TPT(14)	972866301659583479	0 2 78 80 108 110 150 152 198 200 222 224 288 290	-229270794222
SPT(16)	972866304649372181	0 12 26 38 48 86 96 132 146 182 192 230 240 252 266 278	-226281005520
STPT(10)	972866360424223217	0 2 30 32 42 44 54 56 84 86	-170506154484
SPT(16)	972866783680796591	0 30 38 42 110 138 146 156 182 192 200 228 296 300 308 338	252750418890
STPT(10)	972866816410942457	0 2 54 56 132 134 210 212 264 266	285480564756
STPT(10)	972866935406022731	0 2 6 8 48 50 90 92 96 98	404475645030
SPT(16)	972867113503109173	0 6 16 46 66 100 108 118 126 136 144 178 198 228 238 244	582572731472
SPT(16)	972867239632693829	0 20 42 90 98 168 198 210 272 284 314 384 392 440 462 482	708702316128