Prime p₀= 2117857619406199169 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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: 122
Found by: ChUcK
db: batch=80, k=12, 2 40 2 4 2 22

SPT(16)	2117855500487309347	0 6 24 46 76 114 136 190 240 294 316 354 384 406 424 430	-2118918889822
STPT(10)	2117855575588788359	0 2 18 20 30 32 42 44 60 62	-2043817410810
STPT(10)	2117855829787818059	0 2 18 20 30 32 42 44 60 62	-1789618381110
SPT(16)	2117855869607103551	0 50 66 98 102 116 186 210 248 272 342 356 360 392 408 458	-1749799095618
STPT(10)	2117856744488065307	0 2 24 26 42 44 60 62 84 86	-874918133862
SPT(16)	2117857473770828633	0 8 26 50 104 116 134 140 174 180 198 210 264 288 306 314	-145635370536
TPT(14)	2117857936762539677	0 2 12 14 114 116 144 146 210 212 222 224 312 314	317356340508
SPT(16)	2117858634024283457	0 2 6 32 62 74 110 114 182 186 222 234 264 290 294 296	1014618084288
SPT(16)	2117858854187235389	0 24 32 38 62 138 140 150 182 192 194 270 294 300 308 332	1234781036220
SPT(16)	2117859118918679027	0 26 42 80 86 110 140 150 152 162 192 216 222 260 276 302	1499512479858
TPT(14)	2117859224331315497	0 2 30 32 84 86 90 92 102 104 180 182 222 224	1604925116328