Prime p₀= 570395291376489779 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 40 2 94 2 28 2 10 2 (?)
a_n: 0 2 30 32 72 74 168 170 198 200 210 212
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: [SG-2W]Kurzer
db: batch=71, k=12, 28 40 94 28 10

SPT(14)	570395177350192211	0 20 36 56 78 86 146 150 210 218 240 260 276 296	-114026297568
SPT(14)	570395216073405211	0 30 40 42 76 82 90 118 126 132 166 168 178 208	-75303084568
SPT(14)	570395220946864597	0 64 84 124 126 190 202 204 216 280 282 322 342 406	-70429625182
SPT(16)	570395233478953121	0 2 32 42 162 170 176 182 240 246 252 260 380 390 420 422	-57897536658
SPT(14)	570395241281432311	0 6 12 28 78 82 166 192 276 280 330 346 352 358	-50095057468
SPT(14)	570395281848914839	0 10 42 58 64 78 114 148 184 198 204 220 252 262	-9527574940
SPT(14)	570395297565056771	0 30 38 42 48 62 68 192 198 212 218 222 230 260	6188566992
SPT(14)	570395333154426139	0 48 54 78 94 100 112 120 132 138 154 178 184 232	41777936360
STPT(10)	570395366531169659	0 2 18 20 30 32 42 44 60 62	75154679880
SPT(14)	570395388155752693	0 4 6 34 58 70 94 150 174 186 210 238 240 244	96779262914
SPT(14)	570395396752500157	0 10 40 130 132 166 172 180 186 220 222 312 342 352	105376010378