Prime p₀= 510413667035278337 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 40 2 178 2 16 2 22 2 (?)
a_n: 0 2 60 62 102 104 282 284 300 302 324 326
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: 326
Found by: [H]auntjemima
db: batch=71, k=12, 58 40 178 16 22

SPT(14)	510413611636817677	0 22 60 90 96 120 126 166 172 196 202 232 270 292	-55398460660
SPT(14)	510413623822298633	0 54 84 98 114 120 138 170 188 194 210 224 254 308	-43212979704
SPT(14)	510413644143921877	0 10 34 46 94 150 190 240 280 336 384 396 420 430	-22891356460
SPT(14)	510413644995275401	0 42 52 66 70 106 108 130 132 168 172 186 196 238	-22040002936
SPT(14)	510413655630065939	0 30 38 72 104 114 138 164 188 198 230 264 272 302	-11405212398
SPT(14)	510413655972131689	0 10 52 70 78 82 112 120 150 154 162 180 222 232	-11063146648
SPT(14)	510413703892558057	0 30 36 60 114 132 142 144 154 172 226 250 256 286	36857279720
SPT(14)	510413705150656283	0 8 14 86 96 110 114 140 144 158 168 240 246 254	38115377946
SPT(14)	510413748835953637	0 24 34 36 70 90 94 96 100 120 154 156 166 190	81800675300
TPT(12)	510413752141240151	0 2 66 68 180 182 240 242 246 248 306 308	85105961814
SPT(14)	510413783385084191	0 30 32 42 72 78 116 222 260 266 296 306 308 338	116349805854