Prime p₀= 1282400696123179049 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: mikey
db: batch=77, k=12, 2 28 2 10 2 16

STPT(10)	1282399661966820107	0 2 60 62 72 74 84 86 144 146	-1034156358942
STPT(12)	1282399731030867929	0 2 30 32 60 62 72 74 102 104 132 134	-965092311120
SPT(16)	1282399885672912901	0 30 66 90 108 110 138 170 276 308 336 338 356 380 416 446	-810450266148
SPT(16)	1282399891658433959	0 8 54 78 134 138 140 158 210 228 230 234 290 314 360 368	-804464745090
STPT(10)	1282400287568403629	0 2 138 140 150 152 162 164 300 302	-408554775420
SPT(16)	1282400534188806113	0 30 50 54 110 134 158 168 170 180 204 228 284 288 308 338	-161934372936
SPT(16)	1282400915566667747	0 6 50 126 132 174 180 200 246 266 272 314 320 396 440 446	219443488698
SPT(16)	1282400971854242641	0 10 22 36 48 66 78 88 90 100 112 130 142 156 168 178	275731063592
STPT(10)	1282400972724784709	0 2 18 20 30 32 42 44 60 62	276601605660
STPT(10)	1282401628512558077	0 2 30 32 42 44 54 56 84 86	932389379028
SPT(16)	1282401645052182709	0 10 42 60 108 120 130 160 222 252 262 274 322 340 372 382	948929003660