Prime p₀= 2565105914041854917 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
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: 86
Found by: philip-in-hong kong
db: batch=82, k=12, 2 22 2 4 2 22

SPT(16)	2565104505410578583	0 14 20 48 96 126 156 168 266 278 308 338 386 414 420 434	-1408631276334
STPT(10)	2565104823455314097	0 2 42 44 72 74 102 104 144 146	-1090586540820
SPT(16)	2565105085896377251	0 6 30 66 78 100 126 156 160 190 216 238 250 286 310 316	-828145477666
SPT(16)	2565105157861003997	0 12 42 56 66 92 96 116 120 140 144 170 180 194 224 236	-756180850920
TPT(14)	2565105160616618729	0 2 30 32 48 50 102 104 132 134 270 272 300 302	-753425236188
SPT(16)	2565105595018808837	0 56 66 102 116 120 132 146 270 284 296 300 314 350 360 416	-319023046080
STPT(12)	2565105953095053857	0 2 24 26 30 32 54 56 60 62 84 86	39053198940
STPT(10)	2565106167235377971	0 2 6 8 18 20 30 32 36 38	253193523054
SPT(16)	2565106334093715947	0 6 12 36 122 150 152 174 212 234 236 264 350 374 380 386	420051861030
SPT(16)	2565106506639943583	0 20 30 36 84 98 158 168 176 186 246 260 308 314 324 344	592598088666
SPT(16)	2565106764532608503	0 44 60 84 86 120 126 140 174 188 194 228 230 254 270 314	850490753586