Prime p₀= 2808350975461954691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 40 2 4 2 10 2 28 2 (?)
a_n: 0 2 66 68 108 110 150 152 156 158 168 170 198 200
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: 200
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 64 40 40 4 10 28

SPT(16)	2808350120624607931	0 22 78 102 108 126 166 172 186 192 232 250 256 280 336 358	-854837346760
SPT(16)	2808350142277582139	0 24 30 48 122 128 138 174 188 224 234 240 314 332 338 362	-833184372552
SPT(16)	2808350308554259957	0 10 34 46 52 82 102 112 144 154 174 204 210 222 246 256	-666907694734
SPT(16)	2808350435120369101	0 28 40 118 138 180 208 252 286 330 358 400 420 498 510 538	-540341585590
SPT(18)	2808350498123915923	0 6 28 40 48 84 90 94 126 148 180 184 190 226 234 246 268 274	-477338038768
SPT(16)	2808350924876569771	0 46 96 136 150 156 180 210 238 268 292 298 312 352 402 448	-50585384920
STPT(10)	2808351785159633927	0 2 30 32 42 44 54 56 84 86	809697679236
SPT(16)	2808351892706367643	0 4 48 84 126 136 160 184 270 294 318 328 370 406 450 454	917244412952
SPT(16)	2808352458001815103	0 10 54 78 100 114 148 150 184 186 220 234 256 280 324 334	1482539860412
SPT(16)	2808352473140293393	0 10 28 34 100 168 186 196 198 208 226 294 360 366 384 394	1497678338702
SPT(13)	2808352597853754179	0 30 60 120 138 144 204 264 270 288 348 378 408	1622391799488