Prime p₀= 2445687226903984697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 28 2 22 2 46 2 40 2 (?)
a_n: 0 2 12 14 30 32 60 62 84 86 132 134 174 176
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: 176
Found by: JayPi
db: batch=82, k=14, 10 16 28 22 46 40

SPT(16)	2445686214456981169	0 10 22 70 84 112 114 148 204 238 240 268 282 330 342 352	-1012447003528
STPT(10)	2445686245545085727	0 2 30 32 60 62 90 92 120 122	-981358898970
STPT(10)	2445686717565062297	0 2 42 44 72 74 102 104 144 146	-509338922400
SPT(16)	2445686718762210653	0 6 30 78 90 114 126 140 204 218 230 254 266 314 338 344	-508141774044
STPT(10)	2445686961808633679	0 2 42 44 90 92 138 140 180 182	-265095351018
SPT(16)	2445687157542864533	0 36 68 78 86 104 116 126 188 198 210 228 236 246 278 314	-69361120164
STPT(10)	2445687327826003097	0 2 12 14 72 74 132 134 144 146	100922018400
SPT(16)	2445687665250880679	0 12 14 44 62 68 132 158 264 290 354 360 378 408 410 422	438346895982
SPT(16)	2445687816115270093	0 6 48 94 118 126 136 184 210 258 268 276 300 346 388 394	589211285396
SPT(16)	2445687825524846233	0 58 78 88 108 154 168 178 246 256 270 316 336 346 366 424	598620861536
TPT(14)	2445688073695236869	0 2 30 32 42 44 72 74 78 80 102 104 198 200	846791252172