Prime p₀= 3064952115705482369 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 132 134 210 212 222 224
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: 224
Found by: L@MiR
db: batch=83, k=12, 2 10 2 76 2 40

STPT(10)	3064951001764071347	0 2 30 32 72 74 114 116 144 146	-1113941411022
SPT(16)	3064951478187622193	0 20 30 36 66 78 80 104 150 174 176 188 218 224 234 254	-637517860176
SPT(16)	3064951536878598503	0 14 36 48 66 120 146 230 234 318 344 398 416 428 450 464	-578826883866
STPT(10)	3064951579315837529	0 2 42 44 90 92 138 140 180 182	-536389644840
STPT(12)	3064951744476856061	0 2 36 38 48 50 78 80 90 92 126 128	-371228626308
STPT(10)	3064951758777003827	0 2 30 32 42 44 54 56 84 86	-356928478542
SPT(16)	3064952197374744151	0 16 40 66 72 166 180 226 276 322 336 430 436 462 486 502	81669261782
SPT(16)	3064952567234628971	0 20 32 62 116 132 140 150 218 228 236 252 306 336 348 368	451529146602
STPT(10)	3064952748133403261	0 2 36 38 78 80 120 122 156 158	632427920892
STPT(10)	3064953046423821989	0 2 18 20 60 62 102 104 120 122	930718339620
SPT(16)	3064953416673028039	0 12 22 34 40 48 54 70 132 148 154 162 168 180 190 202	1300967545670