Prime p₀= 561282265438157201 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 34 2 52 2 34 2 22 2 (?)
a_n: 0 2 30 32 66 68 120 122 156 158 180 182
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: [SG-2W]Kurzer
db: batch=71, k=12, 28 34 52 34 22

SPT(14)	561282162819735463	0 10 30 58 64 78 84 124 130 144 150 178 198 208	-102618421738
SPT(14)	561282201288384449	0 38 80 90 108 152 164 198 210 254 272 282 324 362	-64149772752
TPT(12)	561282213971844437	0 2 90 92 174 176 204 206 210 212 294 296	-51466312764
SPT(14)	561282219679375391	0 2 8 38 42 60 92 108 140 158 162 192 198 200	-45758781810
SPT(14)	561282225832537381	0 6 76 100 228 238 240 328 330 340 468 492 562 568	-39605619820
SPT(16)	561282235321515797	0 6 24 92 104 126 146 150 176 180 200 222 234 302 320 326	-30116641404
TPT(12)	561282278966426909	0 2 48 50 150 152 168 170 192 194 210 212	13528269708
TPT(14)	561282286333662029	0 2 12 14 42 44 132 134 222 224 342 344 360 362	20895504828
SPT(14)	561282289510722487	0 22 24 30 52 54 64 102 112 114 136 142 144 166	24072565286
SPT(14)	561282333322127497	0 10 22 82 94 112 136 150 174 192 204 264 276 286	67883970296
SPT(14)	561282371153457127	0 42 126 144 160 214 264 292 342 396 412 430 514 556	105715299926