Prime p₀= 585589466595691931 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 136 2 28 2 16 2 (?)
a_n: 0 2 18 20 60 62 198 200 228 230 246 248
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: 248
Found by: mcf2020
db: batch=71, k=12, 16 40 136 28 16

TPT(12)	585589433793300257	0 2 60 62 144 146 180 182 402 404 474 476	-32802391674
TPT(12)	585589435369333007	0 2 30 32 54 56 72 74 84 86 90 92	-31226358924
SPT(14)	585589437461246291	0 12 20 42 56 62 72 110 120 126 140 162 170 182	-29134445640
SPT(14)	585589447774121569	0 10 72 100 142 150 168 172 190 198 240 268 330 340	-18821570362
SPT(14)	585589451161965037	0 22 40 42 46 156 196 216 256 366 370 372 390 412	-15433726894
SPT(14)	585589460615746117	0 4 94 100 150 154 180 226 252 256 306 312 402 406	-5979945814
SPT(14)	585589486121113237	0 30 40 46 54 84 96 100 112 142 150 156 166 196	19525421306
SPT(14)	585589504632511739	0 8 44 50 92 110 114 188 192 210 252 258 294 302	38036819808
SPT(14)	585589507015611629	0 20 42 44 62 114 242 282 410 462 480 482 504 524	40419919698
TPT(12)	585589510316060177	0 2 114 116 144 146 180 182 210 212 222 224	43720368246
TPT(12)	585589523799649049	0 2 30 32 42 44 90 92 132 134 228 230	57203957118