Prime p₀= 812529041676624059 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 70 2 64 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 168 170 240 242 270 272
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: 272
Found by: [SG]FX
db: batch=73, k=12, 2 28 2 70 2 64

SPT(18)	812528380203442831	0 40 66 76 78 102 108 120 132 166 178 190 196 220 222 232 258 298	-661473181228
SPT(16)	812528453464524217	0 42 54 66 72 154 156 172 204 220 222 304 310 322 334 376	-588212099842
STPT(10)	812528604913956839	0 2 18 20 30 32 42 44 60 62	-436762667220
STPT(10)	812528667545032937	0 2 30 32 72 74 114 116 144 146	-374131591122
SPT(16)	812528731731923561	0 56 62 182 192 242 248 258 260 270 276 326 336 456 462 518	-309944700498
TPT(16)	812529041676623987	0 2 72 74 102 104 174 176 240 242 312 314 342 344 420 422	-72
STPT(10)	812529084638263541	0 2 6 8 48 50 90 92 96 98	42961639482
STPT(10)	812529159763585049	0 2 42 44 60 62 78 80 120 122	118086960990
SPT(18)	812529266584563263	0 30 36 50 116 120 140 170 204 326 360 390 410 414 480 494 500 530	224907939204
STPT(12)	812529389057423579	0 2 12 14 42 44 48 50 78 80 90 92	347380799520
TPT(16)	812529835881645779	0 2 42 44 60 62 78 80 102 104 132 134 162 164 330 332	794205021720