Prime p₀= 2808392416616449841 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 46 2 52 2 148 2 28 2 16 2 (?)
a_n: 0 2 78 80 126 128 180 182 330 332 360 362 378 380
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: 380
Found by: [SG-FC] hl
db: batch=82, k=14, 76 46 52 148 28 16

SPT(16)	2808391351541866687	0 10 16 42 60 84 94 214 282 402 412 436 454 480 486 496	-1065074583154
SPT(16)	2808391593122190169	0 24 52 72 90 94 108 132 160 184 198 202 220 240 268 292	-823494259672
SPT(16)	2808392089589987027	0 24 36 152 234 252 254 266 360 372 374 392 474 590 602 626	-327026462814
SPT(16)	2808392295642962407	0 36 46 64 84 130 196 264 322 390 456 502 522 540 550 586	-120973487434
STPT(10)	2808392321066443121	0 2 6 8 48 50 90 92 96 98	-95550006720
SPT(13)	2808392340580439719	0 54 60 78 84 120 144 168 204 210 228 234 288	-76036010122
TPT(14)	2808392595301329479	0 2 48 50 240 242 282 284 330 332 420 422 438 440	178684879638
STPT(10)	2808393035803850189	0 2 30 32 60 62 90 92 120 122	619187400348
SPT(16)	2808393187918586923	0 40 70 90 96 166 196 226 240 270 300 370 376 396 426 466	771302137082
SPT(16)	2808393199728202763	0 20 36 48 66 74 78 80 144 146 150 158 176 188 204 224	783111752922
SPT(16)	2808393428449494211	0 30 40 78 96 132 166 196 252 282 316 352 370 408 418 448	1011833044370