Prime p₀= 2030623465862746631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 28 2 34 2 112 2 4 2 (?)
a_n: 0 2 48 50 60 62 90 92 126 128 240 242 246 248
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: 248
Found by: MechWarrior
db: batch=80, k=14, 46 10 28 34 112 4

TPT(14)	2030622622807924877	0 2 30 32 84 86 90 92 114 116 222 224 240 242	-843054821754
STPT(10)	2030622727669307789	0 2 42 44 90 92 138 140 180 182	-738193438842
SPT(16)	2030622921641558677	0 12 52 96 136 196 210 222 250 262 276 336 376 420 460 472	-544221187954
TPT(14)	2030622977153513387	0 2 84 86 150 152 210 212 324 326 414 416 450 452	-488709233244
SPT(16)	2030623157058208553	0 36 74 86 114 140 168 228 236 296 324 350 378 390 428 464	-308804538078
SPT(16)	2030623298071538699	0 2 12 18 62 72 110 132 140 162 200 210 254 260 270 272	-167791207932
SPT(16)	2030623560766952429	0 12 54 78 80 84 144 204 308 368 428 432 434 458 500 512	94904205798
SPT(16)	2030623785935224391	0 36 120 126 200 248 300 330 338 368 420 468 542 548 632 668	320072477760
STPT(10)	2030624024073811259	0 2 18 20 30 32 42 44 60 62	558211064628
SPT(16)	2030624122330142699	0 8 44 78 84 92 128 140 162 174 210 218 224 258 294 302	656467396068
SPT(16)	2030624411156525123	0 14 24 66 140 186 200 224 300 324 338 384 458 500 510 524	945293778492