Prime p₀= 1579928970124723859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 76 2 40 2 166 2 10 2 (?)
a_n: 0 2 60 62 90 92 168 170 210 212 378 380 390 392
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: 392
Found by: xii5ku
db: batch=78, k=14, 58 28 76 40 166 10

SPT(16)	1579927011126318223	0 4 18 24 28 40 66 120 154 208 234 246 250 256 270 274	-1958998405636
STPT(10)	1579928256965584649	0 2 12 14 30 32 48 50 60 62	-713159139210
TPT(14)	1579928453411756009	0 2 18 20 168 170 240 242 282 284 288 290 342 344	-516712967850
STPT(10)	1579928588239543427	0 2 54 56 72 74 90 92 144 146	-381885180432
STPT(10)	1579928766372713957	0 2 30 32 72 74 114 116 144 146	-203752009902
SPT(20)	1579928768891548441	0 88 120 178 196 220 252 256 270 298 300 328 342 346 378 402 420 478 510 598	-201233175418
STPT(10)	1579929084993772547	0 2 60 62 72 74 84 86 144 146	114869048688
SPT(16)	1579929148645891261	0 10 40 52 78 102 162 208 210 256 316 340 366 378 408 418	178521167402
SPT(16)	1579929653204851057	0 6 30 82 96 154 156 226 240 310 312 370 384 436 460 466	683080127198
STPT(10)	1579929978823755701	0 2 6 8 18 20 30 32 36 38	1008699031842
STPT(10)	1579930205672310131	0 2 6 8 48 50 90 92 96 98	1235547586272