Prime p₀= 164917874568597107 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 10 2 16 2 10 2 34 2 (?)
a_n: 0 2 72 74 84 86 102 104 114 116 150 152
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: 152
Found by: emoga
db: batch=67, k=12, 70 10 16 10 34

SPT(14)	164917819003683703	0 34 58 114 126 168 196 228 256 298 310 366 390 424	-55564913404
SPT(14)	164917824180646711	0 6 12 40 70 72 76 96 100 102 132 160 166 172	-50387950396
SPT(14)	164917826224923913	0 4 10 18 40 70 108 130 168 198 220 228 234 238	-48343673194
TPT(12)	164917826888670179	0 2 60 62 102 104 162 164 258 260 288 290	-47679926928
SPT(14)	164917833235814177	0 2 24 36 50 60 72 164 176 186 200 212 234 236	-41332782930
SPT(14)	164917850697315229	0 12 22 40 42 54 64 90 100 112 114 132 142 154	-23871281878
SPT(16)	164917883946189559	0 30 34 48 64 72 82 94 138 150 160 168 184 198 202 232	9377592452
SPT(14)	164917893742201273	0 16 34 36 48 76 126 148 198 226 238 240 258 274	19173604166
SPT(16)	164917900803730301	0 36 38 42 68 90 128 198 230 300 338 360 386 390 392 428	26235133194
SPT(14)	164917911083722961	0 80 108 110 126 152 176 222 246 272 288 290 318 398	36515125854
SPT(14)	164917938476054479	0 18 60 72 78 84 114 148 178 184 190 202 244 262	63907457372