Prime p₀= 2504137596247886237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 52 2 58 2 148 2 16 2 (?)
a_n: 0 2 42 44 60 62 114 116 174 176 324 326 342 344
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: 344
Found by: [SG-FC] hl
db: batch=82, k=14, 40 16 52 58 148 16

SPT(16)	2504136594008857123	0 10 46 94 108 148 154 156 268 270 276 316 330 378 414 424	-1002239029114
SPT(16)	2504136604356008891	0 20 42 62 66 68 78 86 132 140 150 152 156 176 198 218	-991891877346
TPT(14)	2504136728545188239	0 2 60 62 138 140 222 224 252 254 270 272 378 380	-867702697998
STPT(10)	2504136966706676417	0 2 30 32 42 44 54 56 84 86	-629541209820
SPT(16)	2504137014269488687	0 6 40 42 52 66 90 102 154 166 190 204 214 216 250 256	-581978397550
SPT(16)	2504137406506085677	0 4 34 42 60 106 126 130 246 250 270 316 334 342 372 376	-189741800560
STPT(10)	2504137792338625757	0 2 30 32 42 44 54 56 84 86	196090739520
SPT(16)	2504138090728833149	0 42 44 68 104 138 180 210 362 392 434 468 504 528 530 572	494480946912
TPT(14)	2504138134599920669	0 2 42 44 102 104 132 134 138 140 222 224 240 242	538352034432
STPT(10)	2504138371236701387	0 2 24 26 42 44 60 62 84 86	774988815150
STPT(10)	2504139496328980847	0 2 30 32 42 44 54 56 84 86	1900081094610