Prime p₀= 2409544961826252317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 16 2 22 2 28 2 16 2 (?)
a_n: 0 2 12 14 42 44 60 62 84 86 114 116 132 134
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: 134
Found by: [SG-FC] hl
db: batch=82, k=14, 10 28 16 22 28 16

SPT(16)	2409544390400198267	0 32 56 62 86 104 110 156 170 216 222 240 264 270 294 326	-571426054050
SPT(16)	2409544537184097179	0 14 48 60 102 110 170 182 240 252 312 320 362 374 408 422	-424642155138
STPT(10)	2409544580320019237	0 2 30 32 42 44 54 56 84 86	-381506233080
STPT(10)	2409544592427677051	0 2 6 8 48 50 90 92 96 98	-369398575266
STPT(10)	2409544851409914341	0 2 138 140 168 170 198 200 336 338	-110416337976
SPT(16)	2409544887950572997	0 20 36 60 72 120 132 204 212 284 296 344 356 380 396 416	-73875679320
SPT(16)	2409545274716532551	0 48 126 132 162 198 216 222 296 302 320 356 386 392 470 518	312890280234
STPT(10)	2409545282632427591	0 2 36 38 78 80 120 122 156 158	320806175274
STPT(10)	2409545805343928891	0 2 6 8 48 50 90 92 96 98	843517676574
SPT(16)	2409546044906250931	0 16 18 22 28 30 58 72 76 90 118 120 126 130 132 148	1083079998614
SPT(16)	2409546398078954789	0 2 50 78 84 114 120 128 144 152 158 188 194 222 270 272	1436252702472