Prime p₀= 779723189597885327 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 46 2 22 2 46 2 10 2 (?)
a_n: 0 2 12 14 60 62 84 86 132 134 144 146
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: 146
Found by: schoussi
db: batch=73, k=12, 2 10 2 46 2 22

STPT(10)	779721536746821167	0 2 30 32 72 74 114 116 144 146	-1652851064160
SPT(18)	779721539797381567	0 52 66 96 106 114 136 144 180 196 232 240 262 270 280 310 324 376	-1649800503760
SPT(16)	779722306042010447	0 42 50 90 102 110 114 152 162 200 204 212 224 264 272 314	-883555874880
SPT(16)	779722467926977637	0 14 60 90 96 116 156 200 210 254 294 314 320 350 396 410	-721670907690
SPT(18)	779722530273035561	0 2 36 56 78 102 120 122 150 218 246 248 266 290 312 332 366 368	-659324849766
TPT(14)	779722689160822409	0 2 72 74 120 122 162 164 210 212 252 254 312 314	-500437062918
STPT(10)	779723505465833879	0 2 18 20 30 32 42 44 60 62	315867948552
SPT(16)	779723507841307123	0 40 108 118 120 180 208 238 246 276 304 364 366 376 444 484	318243421796
STPT(10)	779723776429994477	0 2 54 56 72 74 90 92 144 146	586832109150
SPT(18)	779723821123825969	0 10 48 84 88 118 132 150 210 262 322 340 354 384 388 424 462 472	631525940642
SPT(16)	779723853325211419	0 10 102 108 120 148 150 154 228 232 234 262 274 280 372 382	663727326092