Prime p₀= 429938568982326359 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 28 2 208 2 208 2 16 2 (?)
a_n: 0 2 42 44 72 74 282 284 492 494 510 512
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: 512
Found by: Sir Stooper
db: batch=70, k=12, 40 28 208 208 16

SPT(14)	429938532155765233	0 16 24 40 60 76 90 94 108 124 144 160 168 184	-36826561126
SPT(16)	429938533225937753	0 26 78 84 90 96 110 120 224 234 248 254 260 266 318 344	-35756388606
SPT(14)	429938536697914157	0 14 20 36 44 86 176 180 270 312 320 336 342 356	-32284412202
SPT(14)	429938539492395469	0 54 82 84 90 130 144 148 162 202 208 210 238 292	-29489930890
TPT(12)	429938561658369761	0 2 18 20 90 92 96 98 156 158 186 188	-7323956598
TPT(12)	429938564860020449	0 2 30 32 102 104 132 134 228 230 288 290	-4122305910
SPT(14)	429938573644393729	0 4 18 70 82 88 102 160 174 180 192 244 258 262	4662067370
SPT(14)	429938603909948071	0 28 52 66 82 96 100 108 112 126 142 156 180 208	34927621712
SPT(14)	429938620346660521	0 6 18 40 76 88 118 180 210 222 258 280 292 298	51364334162
SPT(16)	429938624276238481	0 18 46 52 82 136 138 148 360 370 372 426 456 462 490 508	55293912122
SPT(14)	429938624950547677	0 6 60 72 112 130 142 144 156 174 214 226 280 286	55968221318