Prime p₀= 199961424183256511 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 94 2 172 2 46 2 58 2 28 2 (?)
a_n: 0 2 96 98 270 272 318 320 378 380 408 410
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: 410
Found by: desktop64
db: batch=69, k=12, 94 172 46 58 28

SPT(14)	199961369064985237	0 6 30 40 42 64 196 210 342 364 366 376 400 406	-55118271274
SPT(14)	199961375774654861	0 30 42 50 56 126 132 176 182 252 258 266 278 308	-48408601650
SPT(16)	199961387690631407	0 60 66 150 162 164 176 180 206 210 222 224 236 320 326 386	-36492625104
SPT(14)	199961388385759541	0 2 48 146 150 170 192 266 288 308 312 410 456 458	-35797496970
SPT(14)	199961400245404999	0 22 78 130 144 148 154 168 174 178 192 244 300 322	-23937851512
TPT(12)	199961402855967251	0 2 30 32 78 80 90 92 120 122 156 158	-21327289260
SPT(14)	199961433232371631	0 6 28 46 52 60 88 90 118 126 132 150 172 178	9049115120
TPT(12)	199961440279146779	0 2 60 62 72 74 102 104 132 134 162 164	16095890268
TPT(12)	199961454143402519	0 2 138 140 150 152 162 164 240 242 252 254	29960146008
SPT(14)	199961454360840539	0 24 42 48 92 98 134 138 174 180 224 230 248 272	30177584028
TPT(12)	199961462153377217	0 2 42 44 60 62 144 146 192 194 210 212	37970120706