Prime p₀= 86132460380963651 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 10 2 16 2 46 2 58 2 (?)
a_n: 0 2 18 20 30 32 48 50 96 98 156 158
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: 158
Found by: Paul
db: batch=67, k=12, 16 10 16 46 58

SPT(14)	86132370232927609	0 22 28 48 54 90 94 138 142 178 184 204 210 232	-90148036042
SPT(16)	86132392818782159	0 2 14 42 78 114 182 188 204 210 278 314 350 378 390 392	-67562181492
SPT(14)	86132408943390527	0 14 42 60 90 102 116 120 134 146 176 194 222 236	-51437573124
SPT(16)	86132418848254277	0 30 50 56 66 72 92 134 162 204 224 230 240 246 266 296	-41532709374
SPT(14)	86132444630059913	0 24 50 60 68 78 86 108 116 126 134 144 170 194	-15750903738
SPT(14)	86132454792912289	0 12 40 88 100 112 130 150 168 180 192 240 268 280	-5588051362
SPT(14)	86132462687435093	0 30 54 108 128 144 150 158 164 180 200 254 278 308	2306471442
SPT(14)	86132473563180641	0 42 80 86 120 122 156 176 210 212 246 252 290 332	13182216990
SPT(14)	86132523252209857	0 10 36 54 76 90 112 174 196 210 232 250 276 286	62871246206
SPT(16)	86132529238618267	0 4 30 42 60 82 96 124 132 160 174 196 214 226 252 256	68857654616
SPT(16)	86132540062913699	0 18 38 50 60 78 108 218 234 344 374 392 402 414 434 452	79681950048