Prime p₀= 167941713138322229 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 106 2 28 2 58 2 40 2 (?)
a_n: 0 2 12 14 120 122 150 152 210 212 252 254
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: 254
Found by: ChelseaOilman
db: batch=67, k=12, 10 106 28 58 40

SPT(16)	167941659941158391	0 8 12 38 80 138 192 212 246 266 320 378 420 446 450 458	-53197163838
SPT(14)	167941664759641889	0 8 30 42 48 50 54 128 132 134 140 152 174 182	-48378680340
SPT(14)	167941665494760869	0 12 50 90 98 134 158 204 228 264 272 312 350 362	-47643561360
SPT(14)	167941679326545353	0 38 126 138 180 186 264 290 368 374 416 428 516 554	-33811776876
SPT(14)	167941703909799251	0 20 32 48 50 56 68 90 102 108 110 126 138 158	-9228522978
SPT(18)	167941705401903929	0 12 68 80 110 140 158 168 174 248 254 264 282 312 342 354 410 422	-7736418300
SPT(14)	167941713410488183	0 18 48 108 118 126 144 220 238 246 256 316 346 364	272165954
SPT(14)	167941730641646821	0 66 70 72 82 88 100 138 150 156 166 168 172 238	17503324592
SPT(14)	167941769734159723	0 30 60 78 84 108 144 154 190 214 220 238 268 298	56595837494
SPT(14)	167941843455824551	0 22 28 42 58 88 102 166 180 210 226 240 246 268	130317502322
SPT(14)	167941849339501177	0 6 22 84 100 132 162 244 274 306 322 384 400 406	136201178948