Prime p₀= 2316517451498163917 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 184 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 210 212 222 224 234 236
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: 236
Found by: Orange Kid
db: batch=81, k=12, 2 10 2 10 2 184

SPT(16)	2316515498980615363	0 6 18 40 48 90 100 118 138 156 166 208 216 238 250 256	-1952517548554
STPT(10)	2316515551975444871	0 2 6 8 18 20 30 32 36 38	-1899522719046
SPT(16)	2316515865893625871	0 16 46 48 60 90 132 142 156 166 208 238 250 252 282 298	-1585604538046
SPT(16)	2316515998992126241	0 16 30 36 78 100 156 168 178 190 246 268 310 316 330 346	-1452506037676
TPT(14)	2316516426121083479	0 2 12 14 60 62 72 74 138 140 168 170 228 230	-1025377080438
STPT(10)	2316516862861027829	0 2 30 32 60 62 90 92 120 122	-588637136088
STPT(10)	2316517606502713037	0 2 30 32 72 74 114 116 144 146	155004549120
SPT(16)	2316517819086121061	0 78 120 126 138 140 162 206 222 266 288 290 302 308 350 428	367587957144
SPT(16)	2316517890833021347	0 10 36 42 52 64 70 94 132 156 162 174 184 190 216 226	439334857430
STPT(10)	2316517947986644151	0 2 36 38 78 80 120 122 156 158	496488480234
SPT(16)	2316517967576445533	0 8 14 68 84 120 150 180 218 248 278 314 330 384 390 398	516078281616