Prime p₀= 2139031949844138911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 238 2 4 2 28 2 100 2 76 2 (?)
a_n: 0 2 90 92 330 332 336 338 366 368 468 470 546 548
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: 548
Found by: CoolAtchOk
db: batch=80, k=14, 88 238 4 28 100 76

TPT(14)	2139030276583532819	0 2 132 134 168 170 240 242 300 302 390 392 438 440	-1673260606092
SPT(16)	2139030563041558717	0 10 34 46 66 70 72 90 136 154 156 160 180 192 216 226	-1386802580194
SPT(16)	2139030685760331619	0 40 58 78 100 102 112 130 180 198 208 210 232 252 270 310	-1264083807292
SPT(16)	2139030783495861779	0 2 24 62 80 90 104 108 164 168 182 192 210 248 270 272	-1166348277132
SPT(18)	2139030904447386107	0 6 42 72 90 114 162 176 182 204 210 224 272 296 314 344 380 386	-1045396752804
STPT(10)	2139031310417359409	0 2 42 44 60 62 78 80 120 122	-639426779502
STPT(10)	2139031958172355031	0 2 30 32 60 62 90 92 120 122	8328216120
SPT(16)	2139032075269606183	0 10 18 28 36 144 148 150 214 216 220 328 336 346 354 364	125425467272
STPT(10)	2139032138644590359	0 2 42 44 60 62 78 80 120 122	188800451448
SPT(16)	2139032331578472497	0 30 60 74 96 144 186 216 374 404 446 494 516 530 560 590	381734333586
STPT(10)	2139032868718992317	0 2 30 32 42 44 54 56 84 86	918874853406