Prime p₀= 148233164745560201 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 178 2 58 2 28 2 34 2 58 2 (?)
a_n: 0 2 180 182 240 242 270 272 306 308 366 368
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: 368
Found by: emoga
db: batch=67, k=12, 178 58 28 34 58

TPT(12)	148233058000080749	0 2 12 14 150 152 192 194 252 254 348 350	-106745479452
SPT(14)	148233060110290219	0 30 54 58 60 102 138 154 190 232 234 238 262 292	-104635269982
TPT(12)	148233094389629111	0 2 36 38 78 80 90 92 210 212 228 230	-70355931090
SPT(14)	148233130035006649	0 34 42 84 90 118 150 202 234 262 268 310 318 352	-34710553552
SPT(14)	148233140197240601	0 60 66 72 96 192 200 222 230 326 350 356 362 422	-24548319600
SPT(14)	148233151252080247	0 34 52 66 70 90 124 192 226 246 250 264 282 316	-13493479954
TPT(12)	148233175232100137	0 2 54 56 60 62 90 92 114 116 180 182	10486539936
TPT(12)	148233179865717509	0 2 120 122 180 182 210 212 252 254 288 290	15120157308
TPT(12)	148233227903116901	0 2 18 20 30 32 96 98 186 188 228 230	63157556700
SPT(14)	148233234729611431	0 28 30 52 66 70 72 136 138 142 156 178 180 208	69984051230
SPT(14)	148233316063308517	0 10 30 40 54 60 66 160 166 172 186 196 216 226	151317748316