Prime p₀= 153894810586050137 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 22 2 76 2 106 2 22 2 (?)
a_n: 0 2 60 62 84 86 162 164 270 272 294 296
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: 296
Found by: emoga
db: batch=67, k=12, 58 22 76 106 22

SPT(14)	153894736377536911	0 22 30 58 60 126 142 276 292 358 360 388 396 418	-74208513226
SPT(14)	153894753754708661	0 18 48 132 162 168 188 282 302 308 338 422 452 470	-56831341476
SPT(14)	153894759859092517	0 12 16 30 72 82 90 136 144 154 196 210 214 226	-50726957620
TPT(12)	153894766071632237	0 2 42 44 54 56 120 122 210 212 240 242	-44514417900
SPT(14)	153894793189198447	0 40 42 46 52 60 66 130 136 144 150 154 156 196	-17396851690
TPT(12)	153894797720923991	0 2 6 8 30 32 90 92 198 200 216 218	-12865126146
SPT(14)	153894826112517433	0 40 84 100 108 118 130 138 150 160 168 184 228 268	15526467296
SPT(14)	153894831639512983	0 34 40 64 70 78 106 138 166 174 180 204 210 244	21053462846
SPT(14)	153894844179334673	0 30 44 48 84 128 140 174 186 230 266 270 284 314	33593284536
SPT(14)	153894880049550127	0 4 22 34 42 54 60 64 70 82 90 102 120 124	69463499990
SPT(14)	153894905246789771	0 12 26 38 50 60 96 122 158 168 180 192 206 218	94660739634