Prime p₀= 2668042687196913371 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 168 170
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: 170
Found by: JayPi
db: batch=82, k=12, 2 46 2 28 2 10

SPT(16)	2668041240038323049	0 20 42 62 84 104 108 110 132 134 138 158 180 200 222 242	-1447158590322
SPT(16)	2668041587265062287	0 34 60 76 82 96 132 154 192 214 250 264 270 286 312 346	-1099931851084
SPT(16)	2668042221819030527	0 32 74 102 104 126 146 150 206 210 230 252 254 282 324 356	-465377882844
STPT(10)	2668042254830006531	0 2 36 38 78 80 120 122 156 158	-432366906840
SPT(16)	2668042376411018623	0 4 60 64 76 84 90 174 190 274 280 288 300 304 360 364	-310785894748
TPT(16)	2668042687196913359	0 2 12 14 60 62 90 92 102 104 132 134 180 182 258 260	-12
SPT(16)	2668042805235864461	0 42 56 72 98 116 158 170 198 210 252 270 296 312 326 368	118038951090
SPT(16)	2668042899338790031	0 48 58 66 102 126 136 148 240 252 262 286 322 330 340 388	212141876660
STPT(10)	2668043151077667617	0 2 42 44 72 74 102 104 144 146	463880754246
STPT(10)	2668043591913104147	0 2 30 32 42 44 54 56 84 86	904716190776
TPT(14)	2668043611750239131	0 2 6 8 66 68 90 92 120 122 168 170 276 278	924553325760