Prime p₀= 586406375315829947 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 28 2 16 2 46 2 82 2 (?)
a_n: 0 2 84 86 114 116 132 134 180 182 264 266
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: 266
Found by: mcf2020
db: batch=71, k=12, 82 28 16 46 82

SPT(14)	586406176783658729	0 18 42 60 78 98 120 122 144 164 182 200 224 242	-198532171218
SPT(14)	586406191714760069	0 42 50 78 80 92 108 272 288 300 302 330 338 380	-183601069878
SPT(14)	586406252735671493	0 14 20 48 110 114 116 138 140 144 206 234 240 254	-122580158454
TPT(12)	586406258328706511	0 2 78 80 90 92 168 170 216 218 246 248	-116987123436
SPT(14)	586406280288482653	0 4 16 48 70 76 90 94 108 114 136 168 180 184	-95027347294
SPT(16)	586406285392368319	0 22 30 40 60 72 90 112 132 154 172 184 204 214 222 244	-89923461628
SPT(14)	586406376311944471	0 6 12 70 72 96 100 108 112 136 138 196 202 208	996114524
TPT(12)	586406381193372251	0 2 30 32 96 98 108 110 150 152 210 212	5877542304
SPT(14)	586406381428117849	0 22 42 60 78 100 148 162 210 232 250 268 288 310	6112287902
SPT(14)	586406385730679999	0 30 42 72 78 140 162 290 312 374 380 410 422 452	10414850052
SPT(14)	586406390697661913	0 26 74 86 110 156 170 264 278 324 348 360 408 434	15381831966