Prime p₀= 775456998550516781 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 10 2 64 2 10 2 76 2 (?)
a_n: 0 2 78 80 90 92 156 158 168 170 246 248
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: 248
Found by: Donn Pike (USAF Ret)
db: batch=73, k=12, 2 76 2 10 2 64

SPT(16)	775455792935909203	0 10 24 28 34 46 48 70 114 136 138 150 156 160 174 184	-1205614607578
SPT(16)	775455940563351107	0 56 114 126 140 194 212 240 326 354 372 426 440 452 510 566	-1057987165674
SPT(16)	775456215277141493	0 8 20 30 78 116 120 146 168 194 198 236 284 294 306 314	-783273375288
STPT(10)	775456221129377111	0 2 36 38 78 80 120 122 156 158	-777421139670
STPT(10)	775456429009171067	0 2 30 32 72 74 114 116 144 146	-569541345714
STPT(10)	775456913500074809	0 2 42 44 150 152 258 260 300 302	-85050441972
STPT(10)	775457126798166077	0 2 42 44 72 74 102 104 144 146	128247649296
SPT(16)	775457289346699627	0 24 150 154 156 226 240 306 334 400 414 484 486 490 616 640	290796182846
SPT(16)	775457357752509851	0 30 60 80 90 152 158 182 198 222 228 290 300 320 350 380	359201993070
SPT(16)	775457379821958227	0 14 30 66 86 116 150 176 234 260 294 324 344 380 396 410	381271441446
TPT(14)	775457406543138437	0 2 24 26 72 74 84 86 180 182 222 224 252 254	407992621656