Prime p₀= 2857770903783329267 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: JayPi
db: batch=82, k=12, 2 22 2 4 2 22

STPT(12)	2857769584195085969	0 2 12 14 90 92 132 134 210 212 222 224	-1319588243298
STPT(10)	2857769604403911227	0 2 30 32 60 62 90 92 120 122	-1299379418040
SPT(16)	2857770203420289379	0 10 82 102 112 178 192 204 238 250 264 330 340 360 432 442	-700363039888
STPT(10)	2857770444186252347	0 2 30 32 42 44 54 56 84 86	-459597076920
SPT(16)	2857770597564336869	0 8 24 42 48 50 62 150 182 270 282 284 290 308 324 332	-306218992398
SPT(16)	2857770793253968859	0 18 38 78 92 98 114 120 122 128 144 150 164 204 224 242	-110529360408
SPT(16)	2857771133105263757	0 12 44 54 56 90 104 126 200 222 236 270 272 282 314 326	229321934490
SPT(16)	2857771237055403961	0 6 28 70 88 102 168 178 210 220 286 300 318 360 382 388	333272074694
TPT(14)	2857772090322762791	0 2 36 38 48 50 90 92 138 140 168 170 180 182	1186539433524
STPT(10)	2857772360371510319	0 2 12 14 90 92 168 170 180 182	1456588181052
SPT(16)	2857772425495738979	0 18 20 44 62 74 78 114 158 194 198 210 228 252 254 272	1521712409712