Prime p₀= 2684468713316257781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 70 2 4 2 52 2 76 2 58 2 (?)
a_n: 0 2 138 140 210 212 216 218 270 272 348 350 408 410
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: 410
Found by: RFGuy_KCCO
db: batch=82, k=14, 136 70 4 52 76 58

STPT(10)	2684467833560788571	0 2 6 8 18 20 30 32 36 38	-879755469210
SPT(16)	2684467994980641193	0 24 36 46 64 76 120 136 168 184 228 240 258 268 280 304	-718335616588
SPT(16)	2684468326826792609	0 90 108 132 134 162 182 188 264 270 290 318 320 344 362 452	-386489465172
STPT(10)	2684468386403339111	0 2 36 38 78 80 120 122 156 158	-326912918670
SPT(20)	2684468450247536093	0 74 86 114 138 224 240 254 278 294 320 336 360 374 390 476 500 528 540 614	-263068721688
SPT(16)	2684468633974004609	0 8 12 18 78 98 134 174 188 228 264 284 344 350 354 362	-79342253172
STPT(10)	2684469372603487499	0 2 18 20 30 32 42 44 60 62	659287229718
SPT(16)	2684469874779058969	0 22 42 120 150 172 240 280 390 430 498 520 550 628 648 670	1161462801188
TPT(14)	2684470348160698127	0 2 30 32 42 44 60 62 90 92 120 122 132 134	1634844440346
STPT(10)	2684470828206055697	0 2 30 32 42 44 54 56 84 86	2114889797916
STPT(10)	2684470843846460531	0 2 30 32 78 80 126 128 156 158	2130530202750