Prime p₀= 771944424022011167 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 34 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 90 92 102 104 144 146
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: jozef j
db: batch=73, k=12, 2 40 2 10 2 34

SPT(18)	771943987807321319	0 48 72 84 92 128 132 152 188 204 240 260 264 300 308 320 344 392	-436214689848
SPT(16)	771944263696159573	0 6 18 28 34 94 138 166 258 286 330 390 396 406 418 424	-160325851594
SPT(16)	771944287887553453	0 30 36 46 60 70 114 156 178 220 264 274 288 298 304 334	-136134457714
SPT(16)	771944336395863863	0 128 134 140 150 156 168 176 198 206 218 224 234 240 246 374	-87626147304
SPT(13)	771944395564832221	0 30 36 72 120 132 186 240 252 300 336 342 372	-28457178946
SPT(16)	771944398806342871	0 72 82 102 106 130 132 142 186 196 198 222 226 246 256 328	-25215668296
SPT(16)	771944767070160473	0 6 18 38 86 96 110 116 138 144 158 168 216 236 248 254	343048149306
SPT(16)	771944803635891917	0 72 84 104 132 140 146 152 234 240 246 254 282 302 314 386	379613880750
SPT(16)	771944923960176959	0 12 80 98 108 110 122 132 230 240 252 254 264 282 350 362	499938165792
STPT(10)	771945386811719969	0 2 30 32 60 62 90 92 120 122	962789708802
SPT(16)	771945486352505063	0 54 68 96 126 156 170 186 278 294 308 338 368 396 410 464	1062330493896