Prime p₀= 2105423213445661829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 136 2 28 2 10 2 40 2 (?)
a_n: 0 2 18 20 30 32 168 170 198 200 210 212 252 254
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: 254
Found by: JonS
db: batch=80, k=14, 16 10 136 28 10 40

TPT(14)	2105421966160655201	0 2 36 38 66 68 90 92 138 140 168 170 180 182	-1247285006628
SPT(16)	2105422338577298359	0 12 40 58 100 120 142 154 288 300 322 342 384 402 430 442	-874868363470
STPT(10)	2105422516600634549	0 2 42 44 90 92 138 140 180 182	-696845027280
SPT(16)	2105422651719466559	0 42 78 98 140 228 242 252 260 270 284 372 414 434 470 512	-561726195270
STPT(10)	2105423007650839871	0 2 36 38 78 80 120 122 156 158	-205794821958
SPT(16)	2105423163855061291	0 42 66 82 90 168 192 202 216 226 250 328 336 352 376 418	-49590600538
STPT(10)	2105423442766757249	0 2 12 14 90 92 168 170 180 182	229321095420
SPT(16)	2105423596874147119	0 10 12 22 30 70 100 118 282 300 330 370 378 388 390 400	383428485290
STPT(10)	2105423615861851289	0 2 12 14 90 92 168 170 180 182	402416189460
SPT(16)	2105423742038830973	0 6 50 56 138 144 146 200 204 258 260 266 348 354 398 404	528593169144
SPT(16)	2105423791122481747	0 4 12 60 114 130 144 186 190 232 246 262 316 364 372 376	577676819918