Prime p₀= 2637438158467546307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 220 2 34 2 250 2 40 2 (?)
a_n: 0 2 84 86 102 104 324 326 360 362 612 614 654 656
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: 656
Found by: biodoc
db: batch=82, k=14, 82 16 220 34 250 40

SPT(16)	2637436508505430391	0 42 90 180 210 212 216 240 242 266 270 272 302 392 440 482	-1649962115916
SPT(16)	2637436775129751601	0 30 52 58 90 142 180 208 210 238 276 328 360 366 388 418	-1383337794706
SPT(16)	2637436782217071143	0 36 38 74 78 108 114 116 168 170 176 206 210 246 248 284	-1376250475164
STPT(10)	2637437170484527319	0 2 18 20 30 32 42 44 60 62	-987983018988
SPT(16)	2637437489859751801	0 22 36 76 106 118 138 208 210 280 300 312 342 382 396 418	-668607794506
SPT(16)	2637437823151504741	0 60 88 132 142 156 168 238 300 370 382 396 406 450 478 538	-335316041566
SPT(16)	2637438272076196739	0 12 42 44 50 72 90 134 258 302 320 342 348 350 380 392	113608650432
STPT(10)	2637438278037647561	0 2 36 38 78 80 120 122 156 158	119570101254
STPT(12)	2637438369096715139	0 2 18 20 42 44 48 50 72 74 90 92	210629168832
STPT(10)	2637438685888755569	0 2 42 44 60 62 78 80 120 122	527421209262
STPT(10)	2637438743315040419	0 2 18 20 30 32 42 44 60 62	584847494112