Prime p₀= 2004203517179410667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 40 2 10 2 64 2 28 2 (?)
a_n: 0 2 24 26 30 32 72 74 84 86 150 152 180 182
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: 182
Found by: Landjunge
db: batch=80, k=14, 22 4 40 10 64 28

STPT(10)	2004203177655087191	0 2 126 128 168 170 210 212 336 338	-339524323476
STPT(10)	2004203293792159919	0 2 18 20 30 32 42 44 60 62	-223387250748
STPT(10)	2004203333222116589	0 2 12 14 90 92 168 170 180 182	-183957294078
SPT(16)	2004203370142212061	0 12 72 102 118 120 138 160 210 232 250 252 268 298 358 370	-147037198606
SPT(16)	2004203396894929849	0 22 34 54 58 112 114 132 190 208 210 264 268 288 300 322	-120284480818
TPT(14)	2004203438532071087	0 2 174 176 234 236 372 374 420 422 462 464 510 512	-78647339580
SPT(16)	2004203755335365917	0 12 64 82 156 172 180 204 232 256 264 280 354 372 424 436	238155955250
SPT(16)	2004203934826759537	0 4 34 54 70 76 84 100 156 172 180 186 202 222 252 256	417647348870
SPT(16)	2004203956028620573	0 16 30 66 78 84 106 118 156 168 190 196 208 244 258 274	438849209906
STPT(10)	2004204634304596781	0 2 30 32 78 80 126 128 156 158	1117125186114
SPT(16)	2004204853233153523	0 24 54 64 88 124 148 168 250 270 294 330 354 364 394 418	1336053742856