Prime p₀= 2866308209769340727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 64 2 70 2 130 2 4 2 (?)
a_n: 0 2 24 26 84 86 150 152 222 224 354 356 360 362
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: 362
Found by: JayPi
db: batch=82, k=14, 22 58 64 70 130 4

SPT(16)	2866305763591013801	0 72 92 96 120 128 156 168 290 302 330 338 362 366 386 458	-2446178326926
STPT(10)	2866306204588294997	0 2 12 14 42 44 72 74 84 86	-2005181045730
SPT(16)	2866307125943750147	0 24 32 50 80 120 152 200 204 252 284 324 354 372 380 404	-1083825590580
SPT(16)	2866307150941914389	0 2 90 108 128 138 140 152 210 222 224 234 254 272 360 362	-1058827426338
STPT(10)	2866307465280250001	0 2 6 8 48 50 90 92 96 98	-744489090726
STPT(10)	2866307956795907621	0 2 6 8 48 50 90 92 96 98	-252973433106
SPT(16)	2866308342808220971	0 16 22 42 78 118 166 178 180 192 240 280 316 336 342 358	133038880244
STPT(10)	2866308876970393409	0 2 18 20 60 62 102 104 120 122	667201052682
SPT(16)	2866309817441550889	0 138 142 148 180 198 204 220 252 268 274 292 324 330 334 472	1607672210162
SPT(16)	2866309878507870689	0 42 48 68 144 152 174 180 272 278 300 308 384 404 410 452	1668738529962
STPT(12)	2866310007865369727	0 2 30 32 60 62 72 74 102 104 132 134	1798096029000