Prime p₀= 491122285096374431 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 28 2 190 2 100 2 28 2 (?)
a_n: 0 2 36 38 66 68 258 260 360 362 390 392
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: 392
Found by: marsinph
db: batch=70, k=12, 34 28 190 100 28

SPT(14)	491122148691443777	0 36 110 132 182 210 222 224 236 264 314 336 410 446	-136404930654
SPT(14)	491122200844546247	0 36 60 110 116 144 176 204 236 264 270 320 344 380	-84251828184
SPT(14)	491122204696295147	0 24 26 44 50 54 92 114 152 156 162 180 182 206	-80400079284
SPT(14)	491122250504201611	0 12 28 72 88 120 126 142 148 180 196 240 256 268	-34592172820
SPT(14)	491122268415137039	0 38 92 104 108 132 150 272 290 314 318 330 384 422	-16681237392
TPT(12)	491122271302250207	0 2 12 14 72 74 90 92 102 104 114 116	-13794124224
SPT(14)	491122304235789991	0 18 46 70 78 150 190 216 256 328 336 360 388 406	19139415560
SPT(14)	491122312556553427	0 10 22 24 84 112 124 210 222 250 310 312 324 334	27460178996
SPT(14)	491122331910930661	0 28 40 42 100 130 142 156 168 198 256 258 270 298	46814556230
SPT(14)	491122341275764027	0 30 36 70 96 112 130 156 174 190 216 250 256 286	56179389596
SPT(14)	491122344369405043	0 40 60 66 78 84 136 138 190 196 208 214 234 274	59273030612