Prime p₀= 2377591676455621289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 40 2 58 2 70 2 4 2 (?)
a_n: 0 2 108 110 138 140 180 182 240 242 312 314 318 320
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: 320
Found by: ChUcK
db: batch=81, k=14, 106 28 40 58 70 4

SPT(16)	2377589718306098063	0 6 20 48 56 60 80 98 186 204 224 228 236 264 278 284	-1958149523226
STPT(10)	2377590177826776527	0 2 24 26 42 44 60 62 84 86	-1498628844762
SPT(16)	2377590488766893359	0 88 112 150 168 178 180 222 238 280 282 292 310 348 372 460	-1187688727930
SPT(18)	2377590651892343267	0 30 50 84 92 102 162 182 234 260 312 332 392 402 410 444 464 494	-1024563278022
STPT(10)	2377590692384097731	0 2 30 32 78 80 126 128 156 158	-984071523558
TPT(14)	2377591424382819431	0 2 96 98 120 122 138 140 150 152 216 218 288 290	-252072801858
STPT(10)	2377591768505407451	0 2 6 8 48 50 90 92 96 98	92049786162
STPT(10)	2377592518398528251	0 2 6 8 18 20 30 32 36 38	841942906962
STPT(10)	2377592527590278807	0 2 12 14 72 74 132 134 144 146	851134657518
SPT(16)	2377592672746481741	0 6 26 36 96 116 146 210 236 300 330 350 410 420 440 446	996290860452
STPT(10)	2377593200419412147	0 2 12 14 42 44 72 74 84 86	1523963790858