Prime p₀= 167094457393416569 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 46 2 148 2 28 2 22 2 (?)
a_n: 0 2 30 32 78 80 228 230 258 260 282 284
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: 284
Found by: emoga
db: batch=67, k=12, 28 46 148 28 22

SPT(14)	167094409752005821	0 10 12 30 42 52 66 142 156 166 178 196 198 208	-47641410748
SPT(16)	167094431041273457	0 36 44 60 122 126 164 194 252 282 320 324 386 402 410 446	-26352143112
SPT(20)	167094432167610637	0 22 40 46 106 166 180 204 216 244 252 280 292 316 330 390 450 456 474 496	-25225805932
TPT(12)	167094435723439349	0 2 30 32 72 74 102 104 180 182 228 230	-21669977220
SPT(14)	167094448242708703	0 30 40 54 84 94 136 168 210 220 250 264 274 304	-9150707866
SPT(14)	167094454663446503	0 30 50 86 90 96 114 116 134 140 144 180 200 230	-2729970066
SPT(14)	167094475330691641	0 10 40 42 52 66 90 172 196 210 220 222 252 262	17937275072
SPT(14)	167094477442780463	0 8 20 66 78 80 120 146 186 188 200 246 258 266	20049363894
TPT(12)	167094490329534749	0 2 18 20 48 50 78 80 90 92 102 104	32936118180
SPT(14)	167094496115049577	0 64 96 112 142 154 210 226 282 294 324 340 372 436	38721633008
SPT(14)	167094496834329679	0 40 60 84 150 154 160 228 234 238 304 328 348 388	39440913110