Prime p₀= 125518404381944111 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 88 2 46 2 70 2 118 2 (?)
a_n: 0 2 18 20 108 110 156 158 228 230 348 350
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: 350
Found by: cpuid
db: batch=67, k=12, 16 88 46 70 118

SPT(14)	125518378237793971	0 16 42 66 82 96 136 222 262 276 292 316 342 358	-26144150140
TPT(12)	125518379226020237	0 2 114 116 132 134 144 146 270 272 294 296	-25155923874
SPT(14)	125518385294511389	0 12 60 74 108 110 164 168 222 224 258 272 320 332	-19087432722
SPT(14)	125518392855305413	0 40 60 66 78 108 150 166 208 238 250 256 276 316	-11526638698
SPT(14)	125518393490821897	0 16 82 142 154 156 210 256 310 312 324 384 450 466	-10891122214
SPT(14)	125518399544230859	0 14 62 80 102 132 140 144 152 182 204 222 270 284	-4837713252
SPT(14)	125518428772271401	0 6 40 52 66 76 88 180 192 202 216 228 262 268	24390327290
SPT(14)	125518439540967019	0 4 10 22 30 70 114 178 222 262 270 282 288 292	35159022908
SPT(14)	125518455387028937	0 6 36 104 164 210 224 282 296 342 402 470 500 506	51005084826
SPT(14)	125518457761567567	0 34 42 72 112 130 132 142 144 162 202 232 240 274	53379623456
SPT(14)	125518464214433489	0 2 8 30 62 80 128 174 222 240 272 294 300 302	59832489378