Prime p₀= 2004203438532071087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 172 2 58 2 136 2 46 2 40 2 46 2 (?)
a_n: 0 2 174 176 234 236 372 374 420 422 462 464 510 512
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: 512
Found by: Landjunge
db: batch=80, k=14, 172 58 136 46 40 46

TPT(14)	2004202974059870489	0 2 12 14 120 122 162 164 378 380 462 464 468 470	-464472200598
STPT(10)	2004203177655087191	0 2 126 128 168 170 210 212 336 338	-260876983896
STPT(10)	2004203293792159919	0 2 18 20 30 32 42 44 60 62	-144739911168
STPT(10)	2004203333222116589	0 2 12 14 90 92 168 170 180 182	-105309954498
SPT(16)	2004203370142212061	0 12 72 102 118 120 138 160 210 232 250 252 268 298 358 370	-68389859026
SPT(16)	2004203396894929849	0 22 34 54 58 112 114 132 190 208 210 264 268 288 300 322	-41637141238
TPT(14)	2004203517179410667	0 2 24 26 30 32 72 74 84 86 150 152 180 182	78647339580
SPT(16)	2004203755335365917	0 12 64 82 156 172 180 204 232 256 264 280 354 372 424 436	316803294830
SPT(16)	2004203934826759537	0 4 34 54 70 76 84 100 156 172 180 186 202 222 252 256	496294688450
SPT(16)	2004203956028620573	0 16 30 66 78 84 106 118 156 168 190 196 208 244 258 274	517496549486
STPT(10)	2004204634304596781	0 2 30 32 78 80 126 128 156 158	1195772525694