Prime p₀= 574230324668674937 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 40 2 4 2 82 2 (?)
a_n: 0 2 30 32 42 44 84 86 90 92 174 176
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: 176
Found by: nenym
db: batch=71, k=12, 28 10 40 4 82

SPT(14)	574230197939179981	0 6 40 106 132 138 162 166 190 196 222 288 322 328	-126729494956
SPT(14)	574230224397637877	0 26 32 56 60 72 102 194 224 236 240 264 270 296	-100271037060
SPT(14)	574230241496871307	0 24 66 84 90 126 150 196 220 256 262 280 322 346	-83171803630
SPT(14)	574230284038349209	0 24 108 120 138 144 150 222 228 234 252 264 348 372	-40630325728
SPT(16)	574230320360529251	0 2 6 38 66 80 96 126 152 182 198 212 240 272 276 278	-4308145686
STPT(10)	574230321711644567	0 2 12 14 72 74 132 134 144 146	-2957030370
TPT(14)	574230326610052499	0 2 30 32 48 50 72 74 90 92 132 134 168 170	1941377562
SPT(16)	574230330093980089	0 18 78 90 144 150 160 190 192 222 232 238 292 304 364 382	5425305152
SPT(14)	574230332602709411	0 18 30 56 96 98 126 140 168 170 210 236 248 266	7934034474
SPT(14)	574230345166548331	0 16 18 30 46 88 126 232 270 312 328 340 342 358	20497873394
SPT(14)	574230354677422507	0 30 54 60 64 82 84 100 102 120 124 130 154 184	30008747570