Prime p₀= 2134667553268620527 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 64 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 120 122 132 134 174 176
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: 176
Found by: Vato
db: batch=80, k=12, 2 40 2 10 2 64

SPT(16)	2134666462814851033	0 4 46 54 66 84 120 138 286 304 340 358 370 378 420 424	-1090453769494
STPT(10)	2134666572388599647	0 2 30 32 72 74 114 116 144 146	-980880020880
STPT(10)	2134666612026702539	0 2 42 44 60 62 78 80 120 122	-941241917988
SPT(16)	2134666903189365001	0 22 28 30 52 72 78 136 162 220 226 246 268 270 276 298	-650079255526
SPT(16)	2134667168508073313	0 6 8 48 56 60 66 78 86 98 104 108 116 156 158 164	-384760547214
SPT(16)	2134667334699965713	0 70 96 118 130 148 196 216 238 258 306 324 336 358 384 454	-218568654814
STPT(10)	2134667682566554691	0 2 6 8 48 50 90 92 96 98	129297934164
TPT(14)	2134667703809069027	0 2 30 32 42 44 144 146 222 224 240 242 282 284	150540448500
SPT(16)	2134667810619278503	0 6 30 70 84 88 114 118 126 130 156 160 174 214 238 244	257350657976
SPT(16)	2134668118237771817	0 26 54 86 114 162 182 194 252 264 284 332 360 392 420 446	564969151290
SPT(16)	2134668456706070543	0 14 20 24 56 60 68 90 164 186 194 198 230 234 240 254	903437450016