Prime p₀= 2425444706483192039 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: Roadranner
db: batch=82, k=12, 2 16 2 22 2 4

STPT(10)	2425443939846176111	0 2 30 32 78 80 126 128 156 158	-766637015928
STPT(10)	2425443960078925991	0 2 6 8 18 20 30 32 36 38	-746404266048
STPT(10)	2425444028350633259	0 2 12 14 30 32 48 50 60 62	-678132558780
SPT(16)	2425444572605822563	0 34 64 78 94 108 118 120 178 180 190 204 220 234 264 298	-133877369476
STPT(10)	2425444621306985417	0 2 60 62 72 74 84 86 144 146	-85176206622
SPT(18)	2425444637565692777	0 2 30 66 104 116 156 192 240 266 314 350 390 402 440 476 504 506	-68917499262
STPT(10)	2425445083273667051	0 2 36 38 78 80 120 122 156 158	376790475012
STPT(10)	2425445092458183119	0 2 42 44 60 62 78 80 120 122	385974991080
STPT(10)	2425445110512412577	0 2 30 32 42 44 54 56 84 86	404029220538
SPT(16)	2425445383542508807	0 6 64 72 84 100 130 154 162 186 216 232 244 252 310 316	677059316768
SPT(16)	2425445983734140461	0 76 108 118 120 132 138 178 180 220 226 238 240 250 282 358	1277250948422