Prime p₀= 2531177075076951209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 40 2 34 2 178 2 40 2 (?)
a_n: 0 2 30 32 60 62 102 104 138 140 318 320 360 362
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: 362
Found by: samuraiii
db: batch=82, k=14, 28 28 40 34 178 40

STPT(10)	2531175190377299507	0 2 30 32 42 44 54 56 84 86	-1884699651702
SPT(16)	2531175396511173833	0 38 114 126 150 210 234 246 248 260 284 344 368 380 456 494	-1678565777376
SPT(16)	2531176126687602941	0 26 68 72 78 86 96 120 128 152 162 170 176 180 222 248	-948389348268
STPT(12)	2531176263965692877	0 2 30 32 42 44 162 164 174 176 204 206	-811111258332
STPT(10)	2531176546620653201	0 2 6 8 48 50 90 92 96 98	-528456298008
SPT(16)	2531176705346816507	0 2 32 50 54 56 92 102 134 144 180 182 186 204 234 236	-369730134702
STPT(10)	2531177086408534337	0 2 12 14 72 74 132 134 144 146	11331583128
TPT(14)	2531177798768897651	0 2 36 38 60 62 126 128 156 158 198 200 216 218	723691946442
TPT(14)	2531177806306483487	0 2 24 26 60 62 84 86 114 116 180 182 282 284	731229532278
STPT(10)	2531178270210634799	0 2 18 20 30 32 42 44 60 62	1195133683590
TPT(14)	2531178274292600057	0 2 72 74 102 104 144 146 180 182 234 236 264 266	1199215648848