Prime p₀= 2557351249426874687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 76 2 16 2 22 2 4 2 (?)
a_n: 0 2 12 14 54 56 132 134 150 152 174 176 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=14, 10 40 76 16 22 4

TPT(14)	2557349304152787707	0 2 54 56 90 92 192 194 210 212 234 236 330 332	-1945274086980
TPT(14)	2557349907627971429	0 2 72 74 150 152 288 290 318 320 360 362 420 422	-1341798903258
SPT(16)	2557349995490229889	0 10 52 60 108 118 144 148 174 178 204 214 262 270 312 322	-1253936644798
SPT(16)	2557350021658142869	0 54 58 78 112 124 144 168 184 208 228 240 274 294 298 352	-1227768731818
SPT(16)	2557350588840585701	0 8 30 42 86 92 120 168 170 218 246 252 296 308 330 338	-660586288986
STPT(10)	2557350904277688047	0 2 42 44 72 74 102 104 144 146	-345149186640
STPT(10)	2557351407830647037	0 2 30 32 42 44 54 56 84 86	158403772350
STPT(10)	2557351411641658127	0 2 60 62 72 74 84 86 144 146	162214783440
STPT(10)	2557351757682056519	0 2 18 20 30 32 42 44 60 62	508255181832
STPT(12)	2557351817612949209	0 2 12 14 72 74 150 152 210 212 222 224	568186074522
SPT(16)	2557351878439898027	0 12 20 50 54 60 120 132 152 164 224 230 234 264 272 284	629013023340