Prime p₀= 820057511360573951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 76 2 10 2 46 2 22 2 58 2 (?)
a_n: 0 2 168 170 246 248 258 260 306 308 330 332 390 392
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: [SG]FX
db: batch=73, k=14, 166 76 10 46 22 58

STPT(12)	820056472990588679	0 2 42 44 102 104 138 140 198 200 240 242	-1038369985272
SPT(16)	820056518619629309	0 2 14 18 102 144 174 198 284 308 338 380 464 468 480 482	-992740944642
SPT(16)	820056916634077687	0 6 10 36 70 136 166 220 246 300 330 396 430 456 460 466	-594726496264
STPT(10)	820056950971546859	0 2 18 20 30 32 42 44 60 62	-560389027092
SPT(16)	820056962430732437	0 24 50 60 90 144 146 164 246 264 266 320 350 360 386 410	-548929841514
SPT(16)	820057423624974481	0 18 48 78 118 156 190 256 270 336 370 408 448 478 508 526	-87735599470
STPT(10)	820057573914050411	0 2 36 38 78 80 120 122 156 158	62553476460
STPT(10)	820057762723789517	0 2 42 44 72 74 102 104 144 146	251363215566
STPT(10)	820057916243244311	0 2 6 8 48 50 90 92 96 98	404882670360
SPT(16)	820058128006653721	0 12 16 58 82 96 120 126 232 238 262 276 300 342 346 358	616646079770
SPT(16)	820058464612552931	0 2 36 80 86 90 98 108 110 120 128 132 138 182 216 218	953251978980