Prime p₀= 817123641213709187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 94 2 52 2 4 2 (?)
a_n: 0 2 24 26 42 44 54 56 150 152 204 206 210 212
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: 212
Found by: [SG]FX
db: batch=73, k=14, 22 16 10 94 52 4

TPT(14)	817123011360743489	0 2 78 80 120 122 132 134 138 140 150 152 180 182	-629852965698
TPT(14)	817123092471802601	0 2 36 38 90 92 216 218 270 272 366 368 456 458	-548741906586
STPT(10)	817123212143559941	0 2 6 8 48 50 90 92 96 98	-429070149246
SPT(16)	817123528374211753	0 10 24 28 88 90 168 184 204 220 298 300 360 364 378 388	-112839497434
TPT(14)	817123572293734547	0 2 30 32 90 92 114 116 174 176 240 242 294 296	-68919974640
SPT(16)	817123627508007983	0 14 38 48 66 78 158 164 210 216 296 308 326 336 360 374	-13705701204
SPT(16)	817123679822984173	0 6 58 120 160 264 274 280 294 300 310 414 454 516 568 574	38609274986
TPT(14)	817123696306773857	0 2 42 44 84 86 180 182 210 212 234 236 240 242	55093064670
STPT(10)	817124194089151811	0 2 36 38 78 80 120 122 156 158	552875442624
SPT(16)	817124309844285013	0 30 106 114 204 256 270 280 324 334 348 400 490 498 574 604	668630575826
SPT(16)	817124587029330413	0 18 54 78 120 164 168 194 234 260 264 308 350 374 410 428	945815621226