Prime p₀= 310401854889498299 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 22 2 58 2 34 2 10 2 (?)
a_n: 0 2 48 50 72 74 132 134 168 170 180 182
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: 182
Found by: Odd-Rod
db: batch=70, k=12, 46 22 58 34 10

SPT(14)	310401758829919591	0 42 58 76 90 130 142 216 228 268 282 300 316 358	-96059578708
SPT(14)	310401760822997071	0 16 28 30 42 72 90 148 166 196 208 210 222 238	-94066501228
TPT(14)	310401770281231787	0 2 42 44 114 116 210 212 240 242 300 302 342 344	-84608266512
SPT(14)	310401777619041851	0 42 98 108 110 140 150 158 168 198 200 210 266 308	-77270456448
SPT(14)	310401818676045449	0 8 38 62 84 90 132 170 212 218 240 264 294 302	-36213452850
SPT(14)	310401826972867423	0 28 40 54 78 100 114 244 258 280 304 318 330 358	-27916630876
SPT(14)	310401855831114329	0 24 42 60 78 80 98 144 162 164 182 200 218 242	941616030
SPT(16)	310401866735212883	0 30 36 50 80 116 120 140 144 164 168 204 234 248 254 284	11845714584
SPT(14)	310401874843491463	0 36 58 70 76 106 120 154 168 198 204 216 238 274	19953993164
SPT(14)	310401903716286601	0 46 48 112 156 168 172 186 190 202 246 310 312 358	48826788302
SPT(14)	310401903781320431	0 2 20 26 62 86 92 126 132 156 192 198 216 218	48891822132