Prime p₀= 310230192731576399 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 40 2 16 2 (?)
a_n: 0 2 18 20 42 44 60 62 102 104 120 122
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: 122
Found by: scrap
db: batch=70, k=12, 16 22 16 40 16

SPT(14)	310230168402193513	0 28 60 148 154 160 174 250 264 270 276 364 396 424	-24329382886
SPT(14)	310230168491771573	0 14 48 68 78 90 146 168 224 236 246 266 300 314	-24239804826
SPT(14)	310230169431636409	0 22 64 102 132 142 168 244 270 280 310 348 390 412	-23299939990
SPT(14)	310230173136045727	0 10 12 34 52 60 102 154 196 204 222 244 246 256	-19595530672
SPT(14)	310230179940175987	0 10 22 34 46 60 76 120 136 150 162 174 186 196	-12791400412
SPT(14)	310230189829833619	0 10 30 52 82 90 100 132 142 150 180 202 222 232	-2901742780
SPT(14)	310230203205273191	0 12 26 38 96 168 222 266 320 392 450 462 476 488	10473696792
SPT(14)	310230211752388439	0 72 110 134 140 162 180 182 200 222 228 252 290 362	19020812040
SPT(14)	310230214239570017	0 12 30 54 60 86 92 144 150 176 182 206 224 236	21507993618
SPT(14)	310230230749527547	0 40 46 54 70 84 96 130 142 156 172 180 186 226	38017951148
SPT(14)	310230234772549621	0 12 18 28 52 60 88 90 118 126 150 160 166 178	42040973222