Prime p₀= 1246864019590180007 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: emoga
db: batch=77, k=12, 2 28 2 10 2 46

STPT(12)	1246862996149602539	0 2 30 32 78 80 162 164 210 212 240 242	-1023440577468
STPT(12)	1246863366992773097	0 2 12 14 42 44 162 164 192 194 204 206	-652597406910
STPT(10)	1246863692001096311	0 2 6 8 18 20 30 32 36 38	-327589083696
SPT(16)	1246863713773153181	0 32 72 90 102 110 140 168 200 228 258 266 278 296 336 368	-305817026826
SPT(16)	1246863749948856187	0 12 30 46 52 142 144 156 250 262 264 354 360 376 394 406	-269641323820
SPT(16)	1246863761947510139	0 12 30 32 38 44 54 80 132 158 168 174 180 182 200 212	-257642669868
TPT(14)	1246864391980524659	0 2 42 44 102 104 138 140 168 170 210 212 312 314	372390344652
SPT(16)	1246864583434506709	0 10 22 82 84 88 100 112 180 192 204 208 210 270 282 292	563844326702
SPT(16)	1246864584941345413	0 60 108 156 184 198 226 270 304 348 376 390 418 466 514 574	565351165406
STPT(10)	1246864941853106579	0 2 48 50 90 92 132 134 180 182	922262926572
STPT(10)	1246864953290719307	0 2 30 32 42 44 54 56 84 86	933700539300