Prime p₀= 2679642245806634489 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=82, k=12, 2 10 2 28 2 34

STPT(10)	2679640688618594537	0 2 12 14 72 74 132 134 144 146	-1557188039952
SPT(16)	2679640893103656263	0 38 48 60 80 90 144 174 194 224 278 288 308 320 330 368	-1352702978226
STPT(10)	2679641299399619879	0 2 42 44 60 62 78 80 120 122	-946407014610
SPT(16)	2679641517074088607	0 24 42 76 106 144 150 172 234 256 262 300 330 364 382 406	-728732545882
STPT(10)	2679642153619932197	0 2 12 14 72 74 132 134 144 146	-92186702292
SPT(16)	2679642217100268559	0 18 42 102 150 208 222 262 300 340 354 412 460 520 544 562	-28706365930
STPT(10)	2679642275971749887	0 2 30 32 42 44 54 56 84 86	30165115398
STPT(10)	2679642296630805641	0 2 36 38 78 80 120 122 156 158	50824171152
SPT(16)	2679642414722659049	0 42 60 122 152 158 170 188 192 210 222 228 258 320 338 380	168916024560
TPT(14)	2679642438282022061	0 2 30 32 78 80 120 122 156 158 186 188 258 260	192475387572
SPT(16)	2679642514510637153	0 14 18 24 84 90 114 164 210 260 284 290 350 356 360 374	268704002664