Prime p₀= 2623732377674193389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 64 2 70 2 10 2 94 2 (?)
a_n: 0 2 30 32 132 134 198 200 270 272 282 284 378 380
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, 28 100 64 70 10 94

STPT(10)	2623731560762182901	0 2 30 32 60 62 90 92 120 122	-816912010488
STPT(10)	2623731717204617651	0 2 30 32 78 80 126 128 156 158	-660469575738
STPT(10)	2623731763392587129	0 2 42 44 60 62 78 80 120 122	-614281606260
SPT(16)	2623732092390553481	0 32 42 60 68 128 138 162 176 200 210 270 278 296 306 338	-285283639908
SPT(16)	2623732255100128309	0 42 48 64 102 124 222 250 252 280 378 400 438 454 460 502	-122574065080
SPT(16)	2623732260896109887	0 20 30 32 96 110 132 140 156 164 186 200 264 266 276 296	-116778083502
STPT(10)	2623732532887149977	0 2 42 44 72 74 102 104 144 146	155212956588
SPT(16)	2623732558235581211	0 6 72 90 108 110 128 132 146 150 168 170 188 206 272 278	180561387822
SPT(16)	2623732624546213967	0 56 62 72 114 204 222 230 246 254 272 362 404 414 420 476	246872020578
SPT(16)	2623732777461695909	0 14 18 84 92 140 158 182 210 234 252 300 308 374 378 392	399787502520
TPT(14)	2623732830737432369	0 2 132 134 180 182 312 314 480 482 558 560 588 590	453063238980