Prime p₀= 557339238070538351 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 4 2 70 2 16 2 52 2 (?)
a_n: 0 2 30 32 36 38 108 110 126 128 180 182
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: [H]auntjemima
db: batch=71, k=12, 28 4 70 16 52

SPT(14)	557339179900371233	0 14 50 98 114 120 134 144 158 164 180 228 264 278	-58170167118
SPT(14)	557339180692045667	0 44 66 80 84 90 114 266 290 296 300 314 336 380	-57378492684
SPT(14)	557339186091355957	0 16 42 46 64 90 112 234 256 282 300 304 330 346	-51979182394
SPT(14)	557339188056395359	0 18 24 28 40 52 60 82 90 102 114 118 124 142	-50014142992
SPT(14)	557339202767280433	0 34 36 54 76 78 108 136 166 168 190 208 210 244	-35303257918
SPT(14)	557339222930703749	0 30 42 44 50 54 72 152 170 174 180 182 194 224	-15139834602
SPT(14)	557339241612297667	0 40 64 102 124 154 250 276 372 402 424 462 486 526	3541759316
SPT(14)	557339251372832083	0 58 60 84 88 94 114 184 204 210 214 238 240 298	13302293732
TPT(12)	557339280539563997	0 2 24 26 102 104 114 116 144 146 180 182	42469025646
SPT(14)	557339286127187857	0 30 60 72 82 130 132 250 252 300 310 322 352 382	48056649506
SPT(14)	557339288675889539	0 24 42 68 72 74 84 98 108 110 114 140 158 182	50605351188