Prime p₀= 2565933673082645609 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 154 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 198 200 210 212 240 242
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: 242
Found by: Arkhenia
db: batch=82, k=12, 2 28 2 10 2 154

SPT(16)	2565932381891562407	0 14 80 110 120 122 150 152 162 164 192 194 204 234 300 314	-1291191083202
STPT(10)	2565933065932519559	0 2 48 50 90 92 132 134 180 182	-607150126050
SPT(18)	2565933077506016957	0 26 62 84 102 120 146 204 216 230 242 300 326 344 362 384 420 446	-595576628652
STPT(10)	2565933090763539797	0 2 24 26 42 44 60 62 84 86	-582319105812
SPT(16)	2565933640100262577	0 6 36 40 52 84 96 112 144 160 172 204 216 220 250 256	-32982383032
SPT(16)	2565933642711060229	0 12 48 72 112 138 144 174 178 208 214 240 280 304 340 352	-30371585380
SPT(16)	2565933680438528087	0 30 32 56 72 120 140 162 254 276 296 344 360 384 386 416	7355882478
TPT(14)	2565933969617613629	0 2 60 62 102 104 150 152 168 170 180 182 240 242	296534968020
SPT(16)	2565934255855898861	0 20 30 38 62 68 90 98 162 170 192 198 222 230 240 260	582773253252
STPT(10)	2565934279256096891	0 2 6 8 18 20 30 32 36 38	606173451282
STPT(10)	2565934554730344527	0 2 30 32 72 74 114 116 144 146	881647698918