Prime p₀= 417940656876261929 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 70 2 34 2 88 2 22 2 (?)
a_n: 0 2 60 62 132 134 168 170 258 260 282 284
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: 284
Found by: nenym
db: batch=70, k=12, 58 70 34 88 22

SPT(14)	417940599692656303	0 4 54 84 96 124 154 156 186 214 226 256 306 310	-57183605626
SPT(14)	417940610772887003	0 14 44 48 86 96 146 168 218 228 266 270 300 314	-46103374926
SPT(14)	417940618899210301	0 52 102 142 160 186 250 312 376 402 420 460 510 562	-37977051628
SPT(14)	417940619800638607	0 24 52 70 100 106 114 142 150 156 186 204 232 256	-37075623322
SPT(14)	417940632899407049	0 20 32 90 102 122 150 182 210 230 242 300 312 332	-23976854880
SPT(14)	417940636816750189	0 18 30 52 60 70 72 130 132 142 150 172 184 202	-20059511740
SPT(14)	417940684247273111	0 2 12 30 42 60 96 116 152 170 182 200 210 212	27371011182
SPT(14)	417940694046862817	0 6 26 36 50 56 80 150 174 180 194 204 224 230	37170600888
SPT(14)	417940703683655381	0 6 12 38 42 98 102 146 150 206 210 236 242 248	46807393452
SPT(14)	417940724740065953	0 18 24 54 84 96 98 156 158 170 200 230 236 254	67863804024
TPT(12)	417940755362080967	0 2 30 32 42 44 102 104 120 122 174 176	98485819038