Prime p₀= 943258369878242441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 76 2 112 2 16 2 10 2 (?)
a_n: 0 2 36 38 48 50 126 128 240 242 258 260 270 272
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: 272
Found by: stoneageman
db: batch=76, k=14, 34 10 76 112 16 10

SPT(16)	943256769081149899	0 18 112 150 160 180 208 228 244 264 292 312 322 360 454 472	-1600797092542
STPT(10)	943257341612594891	0 2 36 38 78 80 120 122 156 158	-1028265647550
SPT(16)	943257825275875391	0 18 20 32 42 80 102 116 132 146 168 206 216 228 230 248	-544602367050
SPT(16)	943257991457013047	0 26 90 92 102 126 140 180 182 222 236 260 270 272 336 362	-378421229394
SPT(16)	943258063637058511	0 42 60 88 108 132 216 228 250 262 346 370 390 418 436 478	-306241183930
SPT(16)	943258358559823391	0 8 26 68 98 158 180 206 222 248 270 330 360 402 420 428	-11318419050
STPT(10)	943258542295147151	0 2 6 8 108 110 210 212 216 218	172416904710
SPT(16)	943258664346495971	0 38 96 108 126 138 140 180 218 258 260 272 290 302 360 398	294468253530
SPT(16)	943258740620770303	0 10 28 60 94 108 118 144 184 210 220 234 268 300 318 328	370742527862
SPT(16)	943259030273864377	0 30 84 112 132 190 204 262 264 322 336 394 414 442 496 526	660395621936
SPT(16)	943259385831937519	0 22 52 64 94 132 160 178 294 312 340 378 408 420 450 472	1015953695078