Prime p₀= 2928966059300854829 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: Landjunge
db: batch=82, k=12, 2 10 2 4 2 22

SPT(16)	2928964554407630771	0 60 86 90 116 126 180 182 216 218 272 282 308 312 338 398	-1504893224058
STPT(10)	2928964779699034169	0 2 42 44 60 62 78 80 120 122	-1279601820660
SPT(16)	2928965377249428623	0 8 56 66 78 108 116 138 266 288 296 326 338 348 396 404	-682051426206
STPT(10)	2928965580270325907	0 2 84 86 132 134 180 182 264 266	-479030528922
STPT(10)	2928965876913638459	0 2 42 44 60 62 78 80 120 122	-182387216370
STPT(12)	2928965947167563687	0 2 60 62 102 104 180 182 222 224 282 284	-112133291142
SPT(16)	2928966094947903733	0 6 48 66 76 78 84 90 94 100 106 108 118 136 178 184	35647048904
SPT(16)	2928967281920872397	0 14 20 50 60 102 134 162 182 210 242 284 294 324 330 344	1222620017568
SPT(16)	2928967375390123783	0 30 70 78 108 118 130 148 198 216 228 238 268 276 316 346	1316089268954
STPT(10)	2928967637798973467	0 2 12 14 72 74 132 134 144 146	1578498118638
SPT(16)	2928967655557301621	0 6 26 72 96 110 128 152 156 180 198 212 236 282 302 308	1596256446792