Prime p₀= 1004943050490177431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 82 2 94 2 52 2 154 2 22 2 (?)
a_n: 0 2 96 98 180 182 276 278 330 332 486 488 510 512
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: 512
Found by: stoneageman
db: batch=76, k=14, 94 82 94 52 154 22

SPT(16)	1004941572012681517	0 12 30 36 42 60 166 196 216 246 352 370 376 382 400 412	-1478477495914
TPT(14)	1004941765344278717	0 2 60 62 72 74 90 92 174 176 222 224 270 272	-1285145898714
SPT(16)	1004942064785073841	0 10 18 88 142 150 180 196 252 268 298 306 360 430 438 448	-985705103590
STPT(10)	1004942358816209267	0 2 24 26 42 44 60 62 84 86	-691673968164
SPT(16)	1004942431485542447	0 14 20 60 102 140 144 150 164 170 174 212 254 294 300 314	-619004634984
SPT(16)	1004943010075572677	0 6 44 74 84 120 222 236 330 344 446 482 492 522 560 566	-40414604754
STPT(10)	1004943093708345431	0 2 6 8 48 50 90 92 96 98	43218168000
STPT(12)	1004943155620508639	0 2 12 14 42 44 108 110 138 140 150 152	105130331208
SPT(16)	1004943372460741031	0 26 62 80 90 120 128 198 230 300 308 338 348 366 402 428	321970563600
TPT(14)	1004943780530986649	0 2 90 92 108 110 132 134 150 152 168 170 222 224	730040809218
SPT(16)	1004944098043546273	0 16 34 46 84 88 96 106 138 148 156 160 198 210 228 244	1047553368842