Prime p₀= 585586123117135559 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 70 2 28 2 (?)
a_n: 0 2 12 14 42 44 108 110 180 182 210 212
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: 212
Found by: mcf2020
db: batch=71, k=12, 10 28 64 70 28

SPT(14)	585586049928509429	0 24 78 92 144 150 182 270 302 308 360 374 428 452	-73188626130
SPT(14)	585586053112519331	0 60 66 96 120 126 146 222 242 248 272 302 308 368	-70004616228
SPT(14)	585586053517751809	0 12 18 22 42 54 78 94 118 130 150 154 160 172	-69599383750
SPT(14)	585586066561417937	0 32 42 60 86 120 144 152 176 210 236 254 264 296	-56555717622
SPT(14)	585586070452401467	0 30 44 72 102 120 210 296 386 404 434 462 476 506	-52664734092
TPT(12)	585586075005753317	0 2 42 44 72 74 114 116 150 152 192 194	-48111382242
SPT(14)	585586133102719933	0 16 78 94 100 108 126 178 196 204 210 226 288 304	9985584374
SPT(18)	585586139933608481	0 42 48 78 140 180 182 198 210 218 230 246 248 288 350 380 386 428	16816472922
TPT(12)	585586142894907797	0 2 30 32 42 44 54 56 60 62 144 146	19777772238
SPT(14)	585586155097716691	0 10 22 52 72 78 100 240 262 268 288 318 330 340	31980581132
TPT(12)	585586169613172067	0 2 30 32 42 44 90 92 114 116 132 134	46496036508