Prime p₀= 877151502324008801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 88 2 46 2 100 2 178 2 58 2 (?)
a_n: 0 2 108 110 198 200 246 248 348 350 528 530 588 590
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: 590
Found by: sellyme
db: batch=73, k=14, 106 88 46 100 178 58

SPT(16)	877150152616388863	0 34 66 70 108 144 148 150 154 156 160 196 234 238 270 304	-1349707619938
SPT(16)	877150345705006207	0 30 66 90 120 190 196 216 220 240 246 316 346 370 406 436	-1156619002594
SPT(16)	877150548608608457	0 30 50 84 126 192 204 210 236 242 254 320 362 396 416 446	-953715400344
SPT(16)	877150611316175941	0 10 16 30 70 78 142 162 196 216 280 288 328 342 348 358	-891007832860
SPT(16)	877150806128655937	0 4 6 22 106 114 126 130 156 160 172 180 264 280 282 286	-696195352864
TPT(14)	877151193041638979	0 2 48 50 60 62 78 80 162 164 168 170 198 200	-309282369822
TPT(14)	877151516975159009	0 2 42 44 48 50 132 134 138 140 330 332 342 344	14651150208
SPT(16)	877151748523261231	0 30 76 118 142 166 192 202 216 226 252 276 300 342 388 418	246199252430
STPT(10)	877151829183135629	0 2 48 50 90 92 132 134 180 182	326859126828
SPT(16)	877151842662382057	0 12 24 46 70 96 106 162 214 270 280 306 330 352 364 376	340338373256
SPT(16)	877152031358270677	0 10 22 52 66 100 142 192 364 414 456 490 504 534 546 556	529034261876