Prime p₀= 2181071047905526031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 88 2 40 2 76 2 40 2 (?)
a_n: 0 2 6 8 36 38 126 128 168 170 246 248 288 290
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: 290
Found by: Penguin
db: batch=81, k=14, 4 28 88 40 76 40

STPT(10)	2181069210622529387	0 2 30 32 42 44 54 56 84 86	-1837282996644
SPT(16)	2181069265803261311	0 8 20 30 56 98 162 168 170 176 240 282 308 318 330 338	-1782102264720
SPT(16)	2181069527930513023	0 4 16 30 58 100 124 144 250 270 294 336 364 378 390 394	-1519975013008
TPT(14)	2181069600623850509	0 2 42 44 60 62 108 110 138 140 180 182 222 224	-1447281675522
STPT(10)	2181070014336032759	0 2 42 44 60 62 78 80 120 122	-1033569493272
STPT(12)	2181070388080650401	0 2 30 32 60 62 96 98 126 128 156 158	-659824875630
SPT(16)	2181071383153411583	0 30 84 86 146 156 234 240 260 266 344 354 414 416 470 500	335247885552
STPT(10)	2181071576602693277	0 2 24 26 42 44 60 62 84 86	528697167246
SPT(16)	2181071873783394587	0 2 6 50 66 90 132 146 150 164 206 230 246 290 294 296	825877868556
TPT(16)	2181071935139978831	0 2 30 32 60 62 66 68 210 212 306 308 408 410 420 422	887234452800
SPT(16)	2181071963724091729	0 12 22 124 130 142 168 172 180 184 210 222 228 330 340 352	915818565698