Prime p₀= 276879188823068849 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 34 2 28 2 10 2 208 2 (?)
a_n: 0 2 42 44 78 80 108 110 120 122 330 332
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: 332
Found by: arkiss
db: batch=69, k=12, 40 34 28 10 208

SPT(14)	276879114829695479	0 24 90 104 114 140 170 192 222 248 258 272 338 362	-73993373370
SPT(14)	276879115708031959	0 48 52 82 132 162 192 220 250 280 330 360 364 412	-73115036890
TPT(12)	276879127760516987	0 2 30 32 60 62 180 182 234 236 252 254	-61062551862
SPT(14)	276879129857974459	0 4 60 102 114 142 148 264 270 298 310 352 408 412	-58965094390
SPT(14)	276879135225631459	0 58 70 72 114 120 148 174 202 208 250 252 264 322	-53597437390
SPT(14)	276879156774188587	0 40 42 72 76 82 90 106 114 120 124 154 156 196	-32048880262
TPT(12)	276879201131112971	0 2 30 32 96 98 138 140 150 152 156 158	12308044122
SPT(14)	276879204054884609	0 72 104 114 168 170 188 204 222 224 278 288 320 392	15231815760
SPT(14)	276879210777166223	0 14 20 36 44 50 56 78 84 90 98 114 120 134	21954097374
SPT(14)	276879228359608993	0 18 60 88 94 108 114 154 160 174 180 208 250 268	39536540144
SPT(14)	276879259532110717	0 126 132 166 184 210 214 252 256 282 300 334 340 466	70709041868