Prime p₀= 2570431186887175607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 70 2 4 2 28 2 40 2 (?)
a_n: 0 2 84 86 132 134 204 206 210 212 240 242 282 284
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: 284
Found by: RFGuy_KCCO
db: batch=82, k=14, 82 46 70 4 28 40

STPT(10)	2570429719376214887	0 2 42 44 102 104 162 164 204 206	-1467510960720
STPT(10)	2570429736010716257	0 2 30 32 42 44 54 56 84 86	-1450876459350
STPT(10)	2570430037032018839	0 2 18 20 30 32 42 44 60 62	-1149855156768
SPT(16)	2570430551678560253	0 8 14 60 86 116 140 146 168 174 198 228 254 300 306 314	-635208615354
SPT(18)	2570430579924288343	0 10 16 28 30 118 124 220 234 250 264 360 366 454 456 468 474 484	-606962887264
TPT(14)	2570430863247261269	0 2 48 50 78 80 90 92 132 134 138 140 180 182	-323639914338
SPT(16)	2570431196024937647	0 30 72 114 134 152 174 180 206 212 234 252 272 314 356 386	9137762040
SPT(16)	2570431269291170149	0 18 54 60 112 138 154 160 222 228 244 270 322 328 364 382	82403994542
SPT(16)	2570431334438723683	0 70 76 78 144 174 180 184 270 274 280 310 376 378 384 454	147551548076
SPT(18)	2570431494554563919	0 24 42 44 80 90 114 132 164 240 272 290 314 324 360 362 380 404	307667388312
STPT(10)	2570431537849639769	0 2 48 50 90 92 132 134 180 182	350962464162