Prime p₀= 315712237042903187 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 28 2 130 2 16 2 22 2 (?)
a_n: 0 2 60 62 90 92 222 224 240 242 264 266
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: 266
Found by: marsinph
db: batch=70, k=12, 58 28 130 16 22

SPT(14)	315712166722904473	0 46 48 54 60 70 114 130 174 184 190 196 198 244	-70319998714
SPT(14)	315712172775036893	0 6 8 18 78 128 188 198 258 308 368 378 380 386	-64267866294
TPT(12)	315712186417063529	0 2 18 20 42 44 132 134 168 170 198 200	-50625839658
SPT(14)	315712204210281023	0 26 56 66 96 116 158 168 210 230 260 270 300 326	-32832622164
SPT(14)	315712204434594337	0 6 30 34 52 54 60 166 172 174 192 196 220 226	-32608308850
SPT(14)	315712224293494729	0 22 24 94 100 108 112 180 184 192 198 268 270 292	-12749408458
SPT(14)	315712240479353449	0 4 78 84 102 142 172 180 210 250 268 274 348 352	3436450262
SPT(14)	315712242373573289	0 32 38 60 138 150 164 168 182 194 272 294 300 332	5330670102
SPT(16)	315712265974326647	0 26 56 72 74 114 122 126 140 144 152 192 194 210 240 266	28931423460
SPT(14)	315712269422669543	0 20 50 98 134 176 188 216 228 270 306 354 384 404	32379766356
SPT(14)	315712303896840533	0 14 36 78 104 144 156 158 170 210 236 278 300 314	66853937346