Prime p₀= 435823741513211267 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 4 2 22 2 (?)
a_n: 0 2 12 14 30 32 54 56 60 62 84 86
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: 86
Found by: modesti
db: batch=70, k=12, 10 16 22 4 22

SPT(14)	435823620937043939	0 8 20 54 90 98 108 164 174 182 218 252 264 272	-120576167328
STPT(10)	435823624435520681	0 2 6 8 48 50 90 92 96 98	-117077690586
SPT(14)	435823630447286551	0 16 100 106 108 156 166 210 220 268 270 276 360 376	-111065924716
SPT(14)	435823661739268343	0 8 36 78 80 116 126 140 150 186 188 230 258 266	-79773942924
SPT(14)	435823716443569787	0 60 92 102 116 126 144 152 170 180 194 204 236 296	-25069641480
SPT(14)	435823718781697747	0 4 34 42 102 114 142 144 172 184 244 252 282 286	-22731513520
SPT(14)	435823753744005889	0 12 52 64 78 120 124 138 142 184 198 210 250 262	12230794622
SPT(14)	435823763491893823	0 46 48 144 166 186 208 216 238 258 280 376 378 424	21978682556
SPT(14)	435823809656785579	0 12 52 54 72 108 142 150 184 220 238 240 280 292	68143574312
SPT(14)	435823811020827923	0 18 30 38 68 108 134 144 170 210 240 248 260 278	69507616656
SPT(14)	435823818892671211	0 36 46 48 66 78 90 148 160 172 190 192 202 238	77379459944