Prime p₀= 179014975861616819 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 4 2 28 2 28 2 28 2 (?)
a_n: 0 2 72 74 78 80 108 110 138 140 168 170
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: 170
Found by: Alez
db: batch=67, k=12, 70 4 28 28 28

SPT(14)	179014940343740989	0 28 64 154 204 232 288 334 390 418 468 558 594 622	-35517875830
SPT(14)	179014944079027009	0 72 100 148 160 172 210 220 258 270 282 330 358 430	-31782589810
SPT(14)	179014950317441267	0 12 54 56 122 150 182 234 266 294 360 362 404 416	-25544175552
TPT(12)	179014953861802337	0 2 30 32 42 44 54 56 114 116 144 146	-21999814482
TPT(12)	179014970569019909	0 2 30 32 132 134 228 230 240 242 282 284	-5292596910
SPT(16)	179014972782816787	0 4 12 36 70 82 96 112 114 130 144 156 190 214 222 226	-3078800032
SPT(14)	179015001568335817	0 16 22 34 40 106 132 184 210 276 282 294 300 316	25706718998
SPT(14)	179015015449400071	0 6 16 22 28 40 42 76 78 90 96 102 112 118	39587783252
SPT(14)	179015045054417029	0 12 22 24 72 100 124 138 162 190 238 240 250 262	69192800210
TPT(12)	179015054206337309	0 2 72 74 78 80 102 104 132 134 162 164	78344720490
SPT(14)	179015081596129787	0 12 24 56 72 86 92 114 120 134 150 182 194 206	105734512968