Prime p₀= 322356643216753721 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 4 2 82 2 34 2 (?)
a_n: 0 2 6 8 30 32 36 38 120 122 156 158
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: 158
Found by: Modefreak
db: batch=70, k=12, 4 22 4 82 34

TPT(12)	322356548292930119	0 2 12 14 42 44 138 140 150 152 180 182	-94923823602
SPT(14)	322356552441673861	0 46 52 60 90 112 130 198 216 238 268 276 282 328	-90775079860
SPT(14)	322356565083344107	0 4 12 40 42 60 72 82 94 112 114 142 150 154	-78133409614
SPT(14)	322356592527454673	0 30 80 108 116 144 156 158 170 198 206 234 284 314	-50689299048
TPT(12)	322356631976406647	0 2 114 116 174 176 180 182 222 224 270 272	-11240347074
SPT(14)	322356642752833259	0 2 114 134 162 174 194 198 218 230 258 278 390 392	-463920462
SPT(14)	322356674884617349	0 34 60 82 130 172 174 208 210 252 300 322 348 382	31667863628
SPT(14)	322356683054553313	0 34 46 78 130 160 166 168 174 204 256 288 300 334	39837799592
SPT(14)	322356685701824611	0 12 96 118 148 160 208 210 258 270 300 322 406 418	42485070890
SPT(14)	322356691334518081	0 22 42 106 108 112 120 208 216 220 222 286 306 328	48117764360
SPT(14)	322356709886909023	0 30 58 100 118 144 148 210 214 240 258 300 328 358	66670155302