Prime p₀= 2589652566143102417 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 34 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 60 62 72 74 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: RFGuy_KCCO
db: batch=82, k=12, 2 10 2 10 2 34

SPT(16)	2589651053443404799	0 4 30 52 70 142 144 150 154 160 162 234 252 274 300 304	-1512699697618
STPT(10)	2589651213401047091	0 2 6 8 18 20 30 32 36 38	-1352742055326
SPT(16)	2589651327644858299	0 4 18 30 42 84 132 184 198 250 298 340 352 364 378 382	-1238498244118
TPT(14)	2589651341711304509	0 2 18 20 72 74 78 80 270 272 288 290 378 380	-1224431797908
STPT(10)	2589651708720783989	0 2 42 44 60 62 78 80 120 122	-857422318428
SPT(16)	2589651829733997521	0 6 12 30 36 72 86 108 110 132 146 182 188 206 212 218	-736409104896
SPT(16)	2589652743280742639	0 2 14 30 44 54 140 180 194 234 320 330 344 360 372 374	177137640222
SPT(16)	2589653863606437073	0 28 46 84 94 106 154 196 228 270 318 330 340 378 396 424	1297463334656
SPT(16)	2589654809058825737	0 6 14 42 50 54 102 140 186 224 272 276 284 312 320 326	2242915723320
TPT(14)	2589654869038753391	0 2 30 32 36 38 96 98 120 122 150 152 210 212	2302895650974
SPT(16)	2589655249117004909	0 60 114 128 140 168 198 200 222 224 254 282 294 308 362 422	2682973902492