Prime p₀= 341476322714536949 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 58 2 22 2 16 2 40 2 (?)
a_n: 0 2 18 20 78 80 102 104 120 122 162 164
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: 164
Found by: Cruncher Pete
db: batch=70, k=12, 16 58 22 16 40

SPT(14)	341476242452053699	0 18 28 30 48 118 124 204 210 280 298 300 310 328	-80262483250
SPT(14)	341476244470821241	0 6 40 42 118 126 160 168 202 210 286 288 322 328	-78243715708
SPT(14)	341476293440013439	0 52 82 100 108 142 154 168 180 214 222 240 270 322	-29274523510
SPT(14)	341476295618180903	0 6 8 50 96 108 116 168 176 188 234 276 278 284	-27096356046
SPT(14)	341476301996490979	0 10 28 52 82 90 108 142 160 168 198 222 240 250	-20718045970
SPT(14)	341476317143091661	0 12 42 48 66 76 88 90 102 112 130 136 166 178	-5571445288
SPT(14)	341476337694977477	0 80 84 116 150 170 186 194 210 230 264 296 300 380	14980440528
SPT(14)	341476353287909969	0 30 42 108 134 182 198 224 240 288 314 380 392 422	30573373020
SPT(14)	341476374413147257	0 16 60 70 82 84 102 154 172 174 186 196 240 256	51698610308
TPT(12)	341476376736549737	0 2 12 14 90 92 102 104 114 116 180 182	54022012788
SPT(14)	341476395579710509	0 10 28 48 70 100 112 138 150 180 202 222 240 250	72865173560