Prime p₀= 2352712970252068979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 94 2 40 2 16 2 22 2 (?)
a_n: 0 2 42 44 102 104 198 200 240 242 258 260 282 284
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: 284
Found by: Landjunge
db: batch=81, k=14, 40 58 94 40 16 22

TPT(14)	2352711150337762169	0 2 48 50 72 74 168 170 222 224 258 260 282 284	-1819914306810
SPT(16)	2352711506161825871	0 38 56 60 80 90 110 156 182 228 248 258 278 282 300 338	-1464090243108
TPT(14)	2352711523828228181	0 2 36 38 66 68 90 92 108 110 168 170 180 182	-1446423840798
STPT(12)	2352712227539808131	0 2 30 32 60 62 126 128 156 158 186 188	-742712260848
SPT(16)	2352712897992797443	0 4 34 46 90 126 136 160 180 204 214 250 294 306 336 340	-72259271536
SPT(16)	2352712960114256431	0 16 40 60 70 72 112 118 150 156 196 198 208 228 252 268	-10137812548
SPT(16)	2352713305694340623	0 30 80 108 110 156 216 240 266 290 350 396 398 426 476 506	335442271644
SPT(16)	2352713603483951251	0 36 42 52 70 102 108 118 120 130 136 168 186 196 202 238	633231882272
SPT(16)	2352713648690657911	0 46 58 72 126 138 220 310 528 618 700 712 766 780 792 838	678438588932
TPT(14)	2352713983664340341	0 2 36 38 108 110 138 140 180 182 210 212 288 290	1013412271362
TPT(14)	2352714261256276259	0 2 18 20 60 62 108 110 180 182 198 200 222 224	1291004207280