Prime p₀= 369771499418527859 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 124 2 160 2 10 2 64 2 (?)
a_n: 0 2 42 44 168 170 330 332 342 344 408 410
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: 410
Found by: [SG-2W]Kurzer
db: batch=70, k=12, 40 124 160 10 64

SPT(14)	369771425090354269	0 34 42 48 58 64 82 450 468 474 484 490 498 532	-74328173590
SPT(14)	369771437558089397	0 32 42 110 120 132 162 200 230 242 252 320 330 362	-61860438462
SPT(14)	369771460544173529	0 108 168 234 290 294 374 414 494 498 554 620 680 788	-38874354330
SPT(14)	369771478084106101	0 12 66 78 108 132 138 150 156 180 210 222 276 288	-21334421758
SPT(14)	369771479199323107	0 34 100 114 126 202 244 252 294 370 382 396 462 496	-20219204752
TPT(12)	369771495972964931	0 2 108 110 138 140 150 152 156 158 180 182	-3445562928
TPT(12)	369771522803493959	0 2 78 80 192 194 198 200 282 284 390 392	23384966100
SPT(14)	369771532025572753	0 46 48 60 96 108 150 154 196 208 244 256 258 304	32607044894
SPT(14)	369771538805644471	0 12 46 48 66 90 100 168 178 202 220 222 256 268	39387116612
SPT(14)	369771557862708787	0 10 30 52 70 112 156 196 240 282 300 322 342 352	58444180928
SPT(14)	369771573218939569	0 12 28 30 34 42 84 88 130 138 142 144 160 172	73800411710