Prime p₀= 341399173606883069 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 22 2 154 2 10 2 106 2 (?)
a_n: 0 2 18 20 42 44 198 200 210 212 318 320
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: 320
Found by: Cruncher Pete
db: batch=70, k=12, 16 22 154 10 106

TPT(12)	341399090905575821	0 2 60 62 108 110 138 140 150 152 198 200	-82701307248
SPT(14)	341399098426024157	0 2 32 60 164 180 182 264 266 282 386 414 444 446	-75180858912
SPT(14)	341399117086914377	0 2 12 30 50 66 72 80 86 102 122 140 150 152	-56519968692
SPT(14)	341399141441956823	0 26 30 54 60 66 80 114 128 134 140 164 168 194	-32164926246
SPT(14)	341399168401074859	0 28 54 78 82 132 138 154 160 210 214 238 264 292	-5205808210
SPT(14)	341399168566159111	0 16 28 36 46 78 126 232 280 312 322 330 342 358	-5040723958
SPT(14)	341399187619475179	0 34 42 54 78 120 150 232 262 304 328 340 348 382	14012592110
SPT(14)	341399196635900041	0 6 52 66 106 112 126 136 150 156 196 210 256 262	23029016972
SPT(14)	341399212393963261	0 18 28 70 72 90 142 186 238 256 258 300 310 328	38787080192
SPT(16)	341399227574794703	0 56 80 84 140 158 164 174 200 210 216 234 290 294 318 374	53967911634
SPT(14)	341399250067457809	0 10 52 90 112 120 174 238 292 300 322 360 402 412	76460574740