Prime p₀= 2352291721183514387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 4 2 52 2 16 2 (?)
a_n: 0 2 12 14 30 32 54 56 60 62 114 116 132 134
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: conf [MM]
db: batch=81, k=14, 10 16 22 4 52 16

SPT(16)	2352290772869870561	0 50 110 138 150 158 176 210 236 270 288 296 308 336 396 446	-948313643826
STPT(10)	2352290785651024481	0 2 6 8 48 50 90 92 96 98	-935532489906
SPT(16)	2352291403837683673	0 88 148 190 198 226 228 268 276 316 318 346 354 396 456 544	-317345830714
STPT(10)	2352291494335674677	0 2 30 32 60 62 90 92 120 122	-226847839710
STPT(10)	2352291606891264989	0 2 18 20 30 32 42 44 60 62	-114292249398
SPT(16)	2352291697434236849	0 30 32 168 180 198 228 260 330 362 392 410 422 558 560 590	-23749277538
STPT(10)	2352291796275939941	0 2 90 92 150 152 210 212 300 302	75092425554
SPT(16)	2352292126051320113	0 6 36 38 50 56 66 86 168 188 198 204 216 218 248 254	404867805726
SPT(16)	2352292282550899459	0 18 28 42 84 94 108 154 168 214 228 238 280 294 304 322	561367385072
STPT(10)	2352292355698784501	0 2 36 38 78 80 120 122 156 158	634515270114
STPT(10)	2352292612629305117	0 2 30 32 72 74 114 116 144 146	891445790730