Prime p₀= 1678080438036974681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 316 2 28 2 28 2 88 2 76 2 22 2 (?)
a_n: 0 2 318 320 348 350 378 380 468 470 546 548 570 572
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: 572
Found by: [B^S]ABoskovich
db: batch=79, k=14, 316 28 28 88 76 22

STPT(10)	1678078925786897729	0 2 18 20 30 32 42 44 60 62	-1512250076952
STPT(12)	1678078966327726211	0 2 18 20 60 62 168 170 210 212 228 230	-1471709248470
SPT(16)	1678079303351318207	0 2 30 60 116 200 204 224 282 302 306 390 446 476 504 506	-1134685656474
STPT(12)	1678079695200878861	0 2 36 38 48 50 78 80 90 92 126 128	-742836095820
SPT(16)	1678079832268421731	0 10 18 36 108 120 196 232 276 312 388 400 472 490 498 508	-605768552950
STPT(12)	1678080188568653687	0 2 42 44 72 74 240 242 270 272 312 314	-249468320994
STPT(12)	1678080579580569179	0 2 12 14 42 44 210 212 240 242 252 254	141543594498
SPT(16)	1678080652647539401	0 6 16 18 28 72 76 120 238 282 286 330 340 342 352 358	214610564720
SPT(16)	1678080793374641479	0 24 40 42 84 90 94 120 124 150 154 160 202 204 220 244	355337666798
SPT(16)	1678080972958176659	0 68 80 134 158 188 218 270 308 360 390 420 444 498 510 578	534921201978
SPT(20)	1678081727244224209	0 18 34 84 88 102 112 150 172 228 244 300 322 360 370 384 388 438 454 472	1289207249528