Prime p₀= 585586075005753317 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 28 2 40 2 34 2 40 2 (?)
a_n: 0 2 42 44 72 74 114 116 150 152 192 194
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: 194
Found by: mcf2020
db: batch=71, k=12, 40 28 40 34 40

SPT(14)	585586037817747961	0 16 40 70 82 88 96 142 150 156 168 198 222 238	-37188005356
SPT(14)	585586049928509429	0 24 78 92 144 150 182 270 302 308 360 374 428 452	-25077243888
SPT(14)	585586053112519331	0 60 66 96 120 126 146 222 242 248 272 302 308 368	-21893233986
SPT(14)	585586053517751809	0 12 18 22 42 54 78 94 118 130 150 154 160 172	-21488001508
SPT(14)	585586066561417937	0 32 42 60 86 120 144 152 176 210 236 254 264 296	-8444335380
SPT(14)	585586070452401467	0 30 44 72 102 120 210 296 386 404 434 462 476 506	-4553351850
TPT(12)	585586123117135559	0 2 12 14 42 44 108 110 180 182 210 212	48111382242
SPT(14)	585586133102719933	0 16 78 94 100 108 126 178 196 204 210 226 288 304	58096966616
SPT(18)	585586139933608481	0 42 48 78 140 180 182 198 210 218 230 246 248 288 350 380 386 428	64927855164
TPT(12)	585586142894907797	0 2 30 32 42 44 54 56 60 62 144 146	67889154480
SPT(14)	585586155097716691	0 10 22 52 72 78 100 240 262 268 288 318 330 340	80091963374