Prime p₀= 820052359698520649 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 94 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 138 140 150 152 180 182
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: 182
Found by: [SG]FX
db: batch=73, k=12, 2 28 2 10 2 94

STPT(10)	820051007632676789	0 2 12 14 30 32 48 50 60 62	-1352065843860
STPT(10)	820051057775505947	0 2 30 32 42 44 54 56 84 86	-1301923014702
SPT(16)	820051207879927217	0 32 50 90 102 150 162 242 294 374 386 434 446 486 504 536	-1151818593432
SPT(16)	820051698553692211	0 10 18 40 70 88 106 118 180 192 210 228 258 280 288 298	-661144828438
STPT(10)	820052165449718519	0 2 42 44 90 92 138 140 180 182	-194248802130
TPT(14)	820052291279514989	0 2 12 14 78 80 150 152 180 182 210 212 300 302	-68419005660
SPT(16)	820052513546723293	0 16 18 40 48 78 96 114 130 148 166 196 204 226 228 244	153848202644
SPT(16)	820052581677512159	0 14 54 110 144 174 210 228 254 272 308 338 372 428 468 482	221978991510
TPT(14)	820052613894074837	0 2 12 14 84 86 150 152 204 206 222 224 234 236	254195554188
STPT(10)	820052682440818829	0 2 30 32 60 62 90 92 120 122	322742298180
STPT(10)	820053810120432959	0 2 78 80 120 122 162 164 240 242	1450421912310