Prime p₀= 999271412617166207 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 124 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 180 182 204 206 234 236
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: 236
Found by: stoneageman
db: batch=76, k=12, 2 28 2 22 2 124

SPT(16)	999269947596670823	0 36 66 78 84 90 98 108 146 156 164 170 176 188 218 254	-1465020495384
SPT(16)	999270112715192323	0 18 40 46 88 96 120 124 150 154 178 186 228 234 256 274	-1299901973884
SPT(16)	999270371294059451	0 6 68 90 98 108 188 222 266 300 380 390 398 420 482 488	-1041323106756
STPT(10)	999270539523896597	0 2 42 44 72 74 102 104 144 146	-873093269610
SPT(16)	999271177614539969	0 2 104 252 320 332 350 380 402 432 450 462 530 678 780 782	-235002626238
SPT(16)	999271307209859899	0 22 48 70 108 132 150 154 228 232 250 274 312 334 360 382	-105407306308
STPT(10)	999271465637084399	0 2 48 50 90 92 132 134 180 182	53019918192
SPT(16)	999272142285778181	0 32 42 60 62 176 200 212 216 228 252 366 368 386 396 428	729668611974
SPT(16)	999272423574944993	0 8 26 38 60 96 104 110 174 180 188 224 246 258 276 284	1010957778786
STPT(10)	999272654708970581	0 2 30 32 60 62 90 92 120 122	1242091804374
SPT(16)	999272782200528569	0 32 44 68 104 114 140 158 264 282 308 318 354 378 390 422	1369583362362