Prime p₀= 3031909244566543727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 28 2 64 2 40 2 106 2 (?)
a_n: 0 2 72 74 84 86 114 116 180 182 222 224 330 332
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: 332
Found by: Alnitak2019
db: batch=82, k=14, 70 10 28 64 40 106

STPT(10)	3031908333742050311	0 2 6 8 48 50 90 92 96 98	-910824493416
SPT(16)	3031908595517629519	0 18 30 82 90 102 112 130 180 198 208 220 228 280 292 310	-649048914208
SPT(16)	3031908827471604181	0 6 58 112 138 148 166 202 246 282 300 310 336 390 442 448	-417094939546
STPT(10)	3031908842405607737	0 2 42 44 72 74 102 104 144 146	-402160935990
SPT(16)	3031908859542597721	0 22 46 78 96 166 172 208 420 456 462 532 550 582 606 628	-385023946006
SPT(16)	3031909215913060361	0 20 30 36 62 86 162 186 212 236 312 336 362 368 378 398	-28653483366
STPT(10)	3031909550010012167	0 2 12 14 42 44 72 74 84 86	305443468440
SPT(16)	3031910183146172161	0 12 16 36 60 78 88 100 108 120 130 148 172 192 196 208	938579628434
STPT(10)	3031910268211461269	0 2 42 44 90 92 138 140 180 182	1023644917542
SPT(16)	3031910567782578409	0 28 48 160 180 214 288 300 322 334 408 442 462 574 594 622	1323216034682
STPT(10)	3031910810356366187	0 2 12 14 42 44 72 74 84 86	1565789822460