Prime p₀= 2999102341821991397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 94 2 100 2 28 2 40 2 (?)
a_n: 0 2 42 44 54 56 150 152 252 254 282 284 324 326
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: 326
Found by: Groo
db: batch=82, k=14, 40 10 94 100 28 40

TPT(14)	2999100391566921119	0 2 60 62 90 92 132 134 162 164 168 170 228 230	-1950255070278
TPT(14)	2999100698373568667	0 2 30 32 72 74 84 86 222 224 270 272 300 302	-1643448422730
SPT(16)	2999100793504470521	0 66 122 132 146 152 198 240 308 350 396 402 416 426 482 548	-1548317520876
SPT(16)	2999101190571895483	0 6 54 96 154 156 228 240 424 436 508 510 568 610 658 664	-1151250095914
SPT(16)	2999101728377652239	0 2 62 114 170 174 182 200 324 342 350 354 410 462 522 524	-613444339158
SPT(16)	2999101912227686299	0 24 40 58 84 90 94 114 238 258 262 268 294 312 328 352	-429594305098
STPT(10)	2999102446486615277	0 2 30 32 42 44 54 56 84 86	104664623880
TPT(14)	2999102633056911737	0 2 24 26 72 74 102 104 144 146 210 212 264 266	291234920340
SPT(16)	2999103351227155889	0 2 8 68 78 114 168 188 204 224 278 314 324 384 390 392	1009405164492
STPT(10)	2999104038641532707	0 2 54 56 72 74 90 92 144 146	1696819541310
SPT(16)	2999104110396302651	0 32 42 68 120 150 212 240 290 318 380 410 462 488 498 530	1768574311254