Prime p₀= 172112996029916099 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 196 2 70 2 76 2 (?)
a_n: 0 2 12 14 30 32 228 230 300 302 378 380
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: 380
Found by: Egon olsen
db: batch=67, k=12, 10 16 196 70 76

TPT(12)	172112911987219589	0 2 12 14 150 152 222 224 378 380 402 404	-84042696510
SPT(14)	172112924445518087	0 6 72 80 126 132 140 246 254 260 306 314 380 386	-71584398012
SPT(14)	172112943452115131	0 6 8 32 42 72 86 102 116 146 156 180 182 188	-52577800968
SPT(14)	172112967608742539	0 30 32 152 164 222 224 348 350 408 420 540 542 572	-28421173560
SPT(14)	172112967717825509	0 18 44 50 60 68 74 198 204 212 222 228 254 272	-28312090590
SPT(14)	172112988703489007	0 30 32 42 74 80 140 174 234 240 272 282 284 314	-7326427092
SPT(14)	172113009776391451	0 18 40 106 150 166 190 276 300 316 360 426 448 466	13746475352
SPT(14)	172113011258902543	0 58 64 78 88 100 118 126 144 156 166 180 186 244	15228986444
SPT(14)	172113014968710253	0 18 58 78 84 106 120 154 168 190 196 216 256 274	18938794154
SPT(14)	172113060931002637	0 4 40 66 84 90 96 124 130 136 154 180 216 220	64901086538
SPT(16)	172113086094651187	0 6 40 54 76 82 204 222 274 292 414 420 442 456 490 496	90064735088