Prime p₀= 86132545191042167 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 82 2 118 2 16 2 16 2 (?)
a_n: 0 2 30 32 114 116 234 236 252 254 270 272
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: 272
Found by: Paul
db: batch=67, k=12, 28 82 118 16 16

TPT(12)	86132460380963651	0 2 18 20 30 32 48 50 96 98 156 158	-84810078516
SPT(14)	86132462687435093	0 30 54 108 128 144 150 158 164 180 200 254 278 308	-82503607074
SPT(14)	86132473563180641	0 42 80 86 120 122 156 176 210 212 246 252 290 332	-71627861526
SPT(14)	86132523252209857	0 10 36 54 76 90 112 174 196 210 232 250 276 286	-21938832310
SPT(16)	86132529238618267	0 4 30 42 60 82 96 124 132 160 174 196 214 226 252 256	-15952423900
SPT(16)	86132540062913699	0 18 38 50 60 78 108 218 234 344 374 392 402 414 434 452	-5128128468
SPT(14)	86132545598836123	0 24 58 88 118 126 150 154 178 186 216 246 280 304	407793956
SPT(14)	86132559482834419	0 24 42 100 132 142 144 310 312 322 354 412 430 454	14291792252
SPT(16)	86132596026266611	0 12 40 42 70 100 132 138 142 148 180 210 238 240 268 280	50835224444
TPT(12)	86132616946810529	0 2 30 32 42 44 60 62 138 140 258 260	71755768362
TPT(12)	86132641233315119	0 2 18 20 48 50 78 80 120 122 132 134	96042272952