Prime p₀= 94315134334334567 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 76 2 28 2 (?)
a_n: 0 2 12 14 42 44 54 56 132 134 162 164
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: 164
Found by: gaballus
db: batch=67, k=12, 10 28 10 76 28

SPT(14)	94315091384159869	0 82 88 138 142 172 238 252 318 348 352 402 408 490	-42950174698
TPT(12)	94315097069260979	0 2 90 92 132 134 228 230 270 272 288 290	-37265073588
SPT(14)	94315099583179963	0 28 36 54 94 148 154 300 306 360 400 418 426 454	-34751154604
TPT(12)	94315104644167697	0 2 120 122 174 176 222 224 294 296 444 446	-29690166870
SPT(14)	94315108082680631	0 6 12 32 48 56 72 86 102 110 126 146 152 158	-26251653936
SPT(14)	94315117513481639	0 60 74 92 104 134 168 224 258 288 300 318 332 392	-16820852928
SPT(14)	94315148801703091	0 30 58 70 72 100 106 162 168 196 198 210 238 268	14467368524
SPT(14)	94315154006852341	0 30 36 52 58 66 70 78 82 90 96 112 118 148	19672517774
SPT(14)	94315168269658579	0 18 42 48 52 88 90 130 132 168 172 178 202 220	33935324012
SPT(14)	94315191476399479	0 22 24 28 42 48 78 94 124 130 144 148 150 172	57142064912
SPT(14)	94315197609313999	0 40 52 118 132 160 162 238 240 268 282 348 360 400	63274979432