Prime p₀= 158346379888594967 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 10 2 76 2 88 2 16 2 (?)
a_n: 0 2 12 14 24 26 102 104 192 194 210 212
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: 212
Found by: emoga
db: batch=67, k=12, 10 10 76 88 16

SPT(16)	158346279675814487	0 6 20 32 36 50 110 116 126 132 192 206 210 222 236 242	-100212780480
SPT(14)	158346359157736109	0 44 72 114 132 180 210 224 254 302 320 362 390 434	-20730858858
SPT(14)	158346359948927231	0 6 48 86 132 146 230 288 372 386 432 470 512 518	-19939667736
SPT(14)	158346368102385433	0 10 34 36 54 70 90 154 174 190 208 210 234 244	-11786209534
SPT(14)	158346371846658647	0 12 60 66 72 84 92 144 152 164 170 176 224 236	-8041936320
SPT(14)	158346377519509297	0 10 46 60 66 82 96 130 144 160 166 180 216 226	-2369085670
SPT(14)	158346388007636041	0 28 42 108 156 160 178 180 198 202 250 316 330 358	8119041074
SPT(14)	158346391298902043	0 164 168 174 198 216 240 284 308 326 350 356 360 524	11410307076
TPT(12)	158346391609381229	0 2 18 20 60 62 78 80 90 92 102 104	11720786262
TPT(12)	158346408189457457	0 2 12 14 90 92 114 116 132 134 300 302	28300862490
SPT(14)	158346437174584829	0 42 44 78 108 114 120 122 128 134 164 198 200 242	57285989862