Prime p₀= 2990432554713874139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 124 2 58 2 10 2 40 2 28 2 (?)
a_n: 0 2 72 74 198 200 258 260 270 272 312 314 342 344
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: 344
Found by: suriv
db: batch=82, k=14, 70 124 58 10 40 28

TPT(14)	2990431008670406447	0 2 42 44 84 86 102 104 144 146 312 314 354 356	-1546043467692
SPT(16)	2990431052353783919	0 24 44 80 110 140 182 212 390 420 462 492 522 558 578 602	-1502360090220
SPT(16)	2990431155843571333	0 28 64 78 84 126 160 178 186 204 238 280 286 300 336 364	-1398870302806
STPT(10)	2990431224664434581	0 2 30 32 60 62 90 92 120 122	-1330049439558
STPT(10)	2990431600585125197	0 2 12 14 72 74 132 134 144 146	-954128748942
STPT(10)	2990432126831112149	0 2 18 20 30 32 42 44 60 62	-427882761990
SPT(16)	2990432790157151483	0 6 48 50 84 96 176 188 216 228 308 320 354 356 398 404	235443277344
SPT(16)	2990433263756102947	0 6 16 54 142 156 172 186 250 264 280 294 382 420 430 436	709042228808
SPT(16)	2990433360392323969	0 4 18 22 70 78 84 112 180 208 214 222 270 274 288 292	805678449830
SPT(16)	2990433390073300711	0 40 42 78 100 126 166 178 210 222 262 288 310 346 348 388	835359426572
STPT(10)	2990433448646773271	0 2 6 8 18 20 30 32 36 38	893932899132