Prime p₀= 2944714715356957799 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 4 2 22

SPT(16)	2944713340471392181	0 6 40 58 66 136 156 180 196 220 240 310 318 336 370 376	-1374885565618
SPT(16)	2944713430979215943	0 38 54 78 84 120 146 150 164 168 194 230 236 260 276 314	-1284377741856
STPT(10)	2944714050816397799	0 2 18 20 30 32 42 44 60 62	-664540560000
SPT(16)	2944714062209206633	0 66 78 90 106 166 168 238 246 316 318 378 394 406 418 484	-653147751166
STPT(12)	2944714106814629999	0 2 12 14 42 44 78 80 108 110 120 122	-608542327800
SPT(16)	2944714685234314589	0 2 32 134 200 210 212 234 308 330 332 342 408 510 540 542	-30122643210
SPT(16)	2944714892761504829	0 24 42 68 108 114 152 180 212 240 278 284 324 350 368 392	177404547030
STPT(10)	2944714958368011779	0 2 18 20 30 32 42 44 60 62	243011053980
STPT(10)	2944715745159992537	0 2 30 32 42 44 54 56 84 86	1029803034738
SPT(16)	2944716114442898963	0 14 60 96 156 164 168 194 270 296 300 308 368 404 450 464	1399085941164
STPT(10)	2944717503738415589	0 2 18 20 30 32 42 44 60 62	2788381457790