Prime p₀= 2767569443419927871 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 88 2 70 2 10 2 88 2 118 2 (?)
a_n: 0 2 6 8 96 98 168 170 180 182 270 272 390 392
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: 392
Found by: JayPi
db: batch=82, k=14, 4 88 70 10 88 118

STPT(10)	2767567540545692537	0 2 42 44 72 74 102 104 144 146	-1902874235334
SPT(16)	2767567751157772127	0 32 36 132 146 162 230 234 242 246 314 330 344 440 444 476	-1692262155744
SPT(16)	2767568032478135741	0 50 60 96 98 138 222 240 248 266 350 390 392 428 438 488	-1410941792130
SPT(16)	2767568117676812627	0 24 42 60 92 102 140 182 192 234 272 282 314 332 350 374	-1325743115244
SPT(16)	2767568188571453651	0 2 30 72 90 138 168 182 198 212 242 290 308 350 378 380	-1254848474220
SPT(16)	2767568932851122761	0 12 28 58 72 100 102 106 162 166 168 196 210 240 256 268	-510568805110
STPT(10)	2767569466480987307	0 2 42 44 72 74 102 104 144 146	23061059436
STPT(12)	2767569651316269461	0 2 30 32 48 50 138 140 156 158 186 188	207896341590
STPT(10)	2767569826654049111	0 2 30 32 60 62 90 92 120 122	383234121240
SPT(16)	2767571224194262711	0 10 18 36 46 88 142 190 228 276 330 372 382 400 408 418	1780774334840
STPT(10)	2767571382900803819	0 2 18 20 30 32 42 44 60 62	1939480875948