Prime p₀= 234217397445478589 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 22 2 88 2 64 2 82 2 (?)
a_n: 0 2 18 20 42 44 132 134 198 200 282 284
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: 284
Found by: desktop64
db: batch=69, k=12, 16 22 88 64 82

SPT(14)	234217346661278131	0 28 42 72 88 156 198 310 352 420 436 466 480 508	-50784200458
SPT(14)	234217353017649299	0 2 18 30 78 84 104 168 188 194 242 254 270 272	-44427829290
TPT(12)	234217358570431979	0 2 30 32 72 74 78 80 138 140 150 152	-38875046610
SPT(14)	234217360898766863	0 14 48 78 80 90 104 120 134 144 146 176 210 224	-36546711726
SPT(14)	234217383448682903	0 24 66 84 86 98 126 128 156 168 170 188 230 254	-13996795686
SPT(13)	234217388784891559	0 12 42 48 60 78 90 102 120 132 138 168 180	-8660587030
SPT(14)	234217402800028379	0 20 62 72 98 114 132 140 158 174 200 210 252 272	5354549790
SPT(14)	234217403568269749	0 4 12 34 40 78 82 90 94 132 138 160 168 172	6122791160
SPT(14)	234217414815335317	0 6 34 46 90 94 142 144 192 196 240 252 280 286	17369856728
SPT(14)	234217421413374319	0 4 48 60 72 82 88 114 120 130 142 154 198 202	23967895730
SPT(14)	234217423788481751	0 48 50 80 90 98 116 132 150 158 168 198 200 248	26343003162