Prime p₀= 2154833982478483679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 40 2 208 2 58 2 4 2 (?)
a_n: 0 2 48 50 60 62 102 104 312 314 372 374 378 380
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: Landjunge
db: batch=81, k=14, 46 10 40 208 58 4

SPT(16)	2154832653654971891	0 20 56 66 150 168 212 266 282 336 380 398 482 492 528 548	-1328823511788
STPT(10)	2154832659868041677	0 2 30 32 42 44 54 56 84 86	-1322610442002
SPT(16)	2154832942254292609	0 12 52 64 78 82 112 124 168 180 210 214 228 240 280 292	-1040224191070
TPT(14)	2154833244378848849	0 2 90 92 132 134 228 230 342 344 408 410 462 464	-738099634830
SPT(16)	2154833406741190921	0 30 70 72 132 142 148 162 166 180 186 196 256 258 298 328	-575737292758
SPT(16)	2154833829905424281	0 32 48 60 96 126 152 162 326 336 362 392 428 440 456 488	-152573059398
STPT(10)	2154834130951521977	0 2 24 26 42 44 60 62 84 86	148473038298
TPT(14)	2154834367611543767	0 2 120 122 162 164 204 206 240 242 312 314 354 356	385133060088
SPT(16)	2154834373116956339	0 2 32 42 72 74 102 120 134 152 180 182 212 222 252 254	390638472660
SPT(16)	2154834461636873197	0 4 30 70 84 130 150 180 184 214 234 280 294 334 360 364	479158389518
SPT(16)	2154834510143010287	0 92 96 102 114 120 144 182 324 362 386 392 404 410 414 506	527664526608