Prime p₀= 545945264185926401 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 10 2 34 2 100 2 16 2 (?)
a_n: 0 2 18 20 30 32 66 68 168 170 186 188
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: 188
Found by: scrap
db: batch=71, k=12, 16 10 34 100 16

SPT(14)	545945207310225859	0 12 24 78 90 108 138 204 234 252 264 318 330 342	-56875700542
SPT(16)	545945219335420559	0 20 54 68 180 182 198 260 432 494 510 512 624 638 672 692	-44850505842
SPT(16)	545945236447891619	0 14 50 110 138 140 180 188 204 212 252 254 282 342 378 392	-27738034782
SPT(14)	545945244399518437	0 6 34 52 66 82 90 166 174 190 204 222 250 256	-19786407964
SPT(14)	545945252220280691	0 18 38 50 56 60 128 240 308 312 318 330 350 368	-11965645710
SPT(14)	545945258117276317	0 46 70 82 102 112 126 130 144 154 174 186 210 256	-6068650084
SPT(14)	545945268141847757	0 30 42 66 120 150 156 170 176 206 260 284 296 326	3955921356
SPT(14)	545945289537572189	0 12 42 72 80 140 158 222 240 300 308 338 368 380	25351645788
SPT(14)	545945295920195539	0 30 58 70 162 172 198 202 228 238 330 342 370 400	31734269138
SPT(14)	545945310418602517	0 16 76 90 126 192 202 234 244 310 346 360 420 436	46232676116
SPT(14)	545945329885883749	0 12 22 54 70 90 204 280 394 414 430 462 472 484	65699957348