Prime p₀= 3031677722641993889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 58 2 4 2 58 2 22 2 76 2 (?)
a_n: 0 2 102 104 162 164 168 170 228 230 252 254 330 332
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: 332
Found by: [SG-FC] hl
db: batch=82, k=14, 100 58 4 58 22 76

STPT(10)	3031676474851609097	0 2 30 32 120 122 210 212 240 242	-1247790384792
SPT(16)	3031676792633428267	0 4 16 34 42 96 180 186 280 286 370 424 432 450 462 466	-930008565622
SPT(16)	3031677173349767123	0 44 90 108 174 198 210 240 368 398 410 434 500 518 564 608	-549292226766
SPT(16)	3031677346351657909	0 12 22 42 90 94 120 132 142 154 180 184 232 252 262 274	-376290335980
STPT(10)	3031677408314217317	0 2 30 32 72 74 114 116 144 146	-314327776572
STPT(10)	3031677533523747707	0 2 30 32 42 44 54 56 84 86	-189118246182
SPT(16)	3031678052294908067	0 20 24 56 80 120 146 204 212 270 296 336 360 392 396 416	329652914178
SPT(16)	3031678121170755157	0 30 52 90 96 136 150 154 162 166 180 220 226 264 286 316	398528761268
SPT(18)	3031678337907689647	0 6 22 30 60 72 90 106 126 136 156 172 190 202 232 240 256 262	615265695758
SPT(16)	3031678695347569027	0 22 24 40 52 54 96 124 132 160 202 204 216 232 234 256	972705575138
TPT(14)	3031678945301517347	0 2 102 104 180 182 264 266 270 272 324 326 354 356	1222659523458