Prime p₀= 406186045742423519 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 10 2 28 2 76 2 (?)
a_n: 0 2 42 44 60 62 72 74 102 104 180 182
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: desktop64
db: batch=70, k=12, 40 16 10 28 76

SPT(14)	406185935665852609	0 12 40 42 70 78 88 102 112 120 148 150 178 190	-110076570910
SPT(14)	406185956595065597	0 12 30 66 80 146 150 272 276 342 356 392 410 422	-89147357922
SPT(14)	406185984805160347	0 34 40 42 46 102 124 132 154 210 214 216 222 256	-60937263172
SPT(14)	406186001965035037	0 12 40 42 64 70 82 102 114 120 142 144 172 184	-43777388482
SPT(14)	406186011292537963	0 16 18 28 40 58 60 166 168 186 198 208 210 226	-34449885556
SPT(14)	406186040413667893	0 10 54 70 78 88 150 184 246 256 264 280 324 334	-5328755626
SPT(14)	406186046418352147	0 10 54 72 132 156 166 210 220 244 304 322 366 376	675928628
SPT(14)	406186050273521773	0 28 40 90 106 120 124 150 154 168 184 234 246 274	4531098254
SPT(14)	406186051582025699	0 14 132 152 168 182 200 252 270 284 300 320 438 452	5839602180
SPT(14)	406186076367372241	0 22 28 40 96 108 132 196 220 232 288 300 306 328	30624948722
SPT(14)	406186095901193963	0 108 116 164 168 174 210 224 260 266 270 318 326 434	50158770444