Prime p₀= 924131466946080851 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 40 2 58 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 168 170 210 212 276 278
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: 278
Found by: Theadalus
db: batch=76, k=12, 2 64 2 40 2 58

STPT(10)	924130641389060267	0 2 30 32 42 44 54 56 84 86	-825557020584
SPT(16)	924130720094954881	0 22 42 48 60 70 132 148 192 208 270 280 292 298 318 340	-746851125970
SPT(16)	924130932843593087	0 2 32 42 54 72 104 114 200 210 242 260 272 282 312 314	-534102487764
TPT(14)	924131017716830351	0 2 96 98 126 128 150 152 336 338 348 350 360 362	-449229250500
STPT(10)	924131214474671381	0 2 6 8 48 50 90 92 96 98	-252471409470
TPT(14)	924131415198213029	0 2 78 80 120 122 150 152 210 212 252 254 288 290	-51747867822
SPT(16)	924131741004403273	0 4 70 136 166 168 216 250 264 298 346 348 378 444 510 514	274058322422
SPT(16)	924131812879395797	0 6 56 62 84 122 146 152 174 180 204 242 264 270 320 326	345933314946
STPT(10)	924131826244357271	0 2 30 32 78 80 126 128 156 158	359298276420
SPT(16)	924132090521930249	0 14 32 44 60 68 78 84 128 134 144 152 168 180 198 212	623575849398
STPT(10)	924132154375350257	0 2 30 32 42 44 54 56 84 86	687429269406