Prime p₀= 3031964210627424011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 208 2 46 2 106 2 28 2 22 2 28 2 (?)
a_n: 0 2 210 212 258 260 366 368 396 398 420 422 450 452
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: 452
Found by: Alnitak2019
db: batch=82, k=14, 208 46 106 28 22 28

SPT(18)	3031962890808288341	0 20 38 80 92 126 156 168 198 260 290 302 332 366 378 420 438 458	-1319819135670
SPT(16)	3031963122682545367	0 24 54 66 84 94 120 154 162 196 222 232 250 262 292 316	-1087944878644
SPT(16)	3031963512279223883	0 6 18 20 36 96 104 144 170 210 218 278 294 296 308 314	-698348200128
SPT(13)	3031963633042720301	0 6 48 90 126 150 168 186 210 246 288 330 336	-577584703710
SPT(16)	3031963844478816673	0 4 46 60 138 154 180 228 346 394 420 436 514 528 570 574	-366148607338
STPT(10)	3031964069952004667	0 2 30 32 42 44 54 56 84 86	-140675419344
TPT(14)	3031964316803083931	0 2 36 38 90 92 96 98 216 218 300 302 318 320	106175659920
SPT(16)	3031965243188488073	0 26 146 164 216 236 308 360 374 426 498 518 570 588 708 734	1032561064062
SPT(16)	3031965318810063487	0 36 40 52 76 90 124 190 306 372 406 420 444 456 460 496	1108182639476
TPT(14)	3031965383904854231	0 2 18 20 126 128 228 230 246 248 288 290 576 578	1173277430220
STPT(10)	3031965457638026879	0 2 12 14 90 92 168 170 180 182	1247010602868