Prime p₀= 209617965180586979 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 46 2 22 2 16 2 10 2 (?)
a_n: 0 2 30 32 78 80 102 104 120 122 132 134
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: 134
Found by: Ralfy
db: batch=69, k=12, 28 46 22 16 10

SPT(14)	209617863916224251	0 48 66 80 90 96 108 140 152 158 168 182 200 248	-101264362728
SPT(14)	209617886373786181	0 42 82 90 132 148 156 172 180 196 238 246 286 328	-78806800798
SPT(20)	209617900242556271	0 30 42 92 96 110 156 180 188 212 306 330 338 362 408 422 426 476 488 518	-64938030708
SPT(14)	209617902275995663	0 36 48 156 198 204 220 384 400 406 448 556 568 604	-62904591316
SPT(14)	209617906639378673	0 8 14 18 30 36 78 86 128 134 146 150 156 164	-58541208306
SPT(14)	209617949920086341	0 6 18 20 32 56 78 110 132 156 168 170 182 188	-15260500638
SPT(14)	209617972109494771	0 12 42 82 102 180 208 252 280 358 378 418 448 460	6928907792
TPT(12)	209617982970856091	0 2 36 38 60 62 78 80 90 92 186 188	17790269112
SPT(14)	209617994385697771	0 46 70 76 90 118 126 172 180 208 222 228 252 298	29205110792
SPT(14)	209618000877808801	0 6 66 90 102 126 148 150 172 196 208 232 292 298	35697221822
SPT(14)	209618001646091419	0 24 40 42 82 84 120 154 190 192 232 234 250 274	36465504440