Prime p₀= 2254342123757726381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 58 2 142 2 46 2 76 2 22 2 (?)
a_n: 0 2 36 38 96 98 240 242 288 290 366 368 390 392
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: JayPi
db: batch=81, k=14, 34 58 142 46 76 22

SPT(16)	2254341157843032119	0 2 12 14 30 72 92 114 140 162 182 224 240 242 252 254	-965914694262
SPT(16)	2254341220381901513	0 36 48 90 156 206 210 218 288 296 300 350 416 458 470 506	-903375824868
SPT(16)	2254341388776199937	0 14 32 84 90 102 134 140 246 252 284 296 302 354 372 386	-734981526444
SPT(16)	2254341516740736649	0 10 24 78 84 102 118 144 178 204 220 238 244 298 312 322	-607016989732
STPT(10)	2254341808874746709	0 2 18 20 30 32 42 44 60 62	-314882979672
SPT(16)	2254342089513943927	0 12 40 42 60 72 114 172 264 322 364 376 394 396 424 436	-34243782454
STPT(10)	2254342184940103829	0 2 18 20 30 32 42 44 60 62	61182377448
SPT(16)	2254342216191518311	0 28 52 88 130 160 166 172 216 222 228 258 300 336 360 388	92433791930
SPT(16)	2254342574152478129	0 12 110 134 192 222 224 302 420 498 500 530 588 612 710 722	450394751748
TPT(14)	2254342791718941101	0 2 6 8 36 38 48 50 96 98 120 122 126 128	667961214720
STPT(10)	2254342865225199347	0 2 30 32 42 44 54 56 84 86	741467472966