Prime p₀= 21578560377665231 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 10 2 10 2 16 2 10 2 (?)
a_n: 0 2 66 68 78 80 90 92 108 110 120 122
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: 122
Found by: davidBAM
db: batch=65, k=12, 64 10 10 16 10

TPT(12)	21578502979165421	0 2 18 20 48 50 78 80 156 158 168 170	-57398499810
SPT(14)	21578527326098153	0 38 54 78 80 98 120 164 186 204 206 230 246 284	-33051567078
TPT(12)	21578529270878267	0 2 30 32 42 44 72 74 114 116 120 122	-31106786964
SPT(14)	21578543765514389	0 30 44 54 114 134 140 192 198 218 278 288 302 332	-16612150842
SPT(14)	21578544274327673	0 8 48 50 96 150 168 188 206 260 306 308 348 356	-16103337558
SPT(14)	21578546000319697	0 36 46 60 76 82 90 112 120 126 142 156 166 202	-14377345534
SPT(14)	21578562728258051	0 8 18 38 42 48 98 102 152 158 162 182 192 200	2350592820
SPT(14)	21578569781326189	0 112 132 142 172 190 240 244 294 312 342 352 372 484	9403660958
SPT(16)	21578593728785309	0 14 32 42 62 80 90 128 144 182 192 210 230 240 258 272	33351120078
SPT(14)	21578621328678181	0 36 78 108 120 126 166 192 232 238 250 280 322 358	60951012950
SPT(14)	21578622723750931	0 16 42 72 90 102 130 138 166 178 196 226 252 268	62346085700