Prime p₀= 346240531689146849 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 46 12 2 76 80 4 80 76 2 12 46 14 (?)
a_n: 0 14 60 72 74 150 230 234 314 390 392 404 450 464
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 464
Found by: Cruncher Pete
db: batch=70, k=14, 14 46 12 2 76 80 4

SPT(14)	346240490795548343	0 8 14 26 54 56 60 74 78 80 108 120 126 134	-40893598506
SPT(14)	346240497496895077	0 46 52 112 136 180 196 240 256 300 324 384 390 436	-34192251772
SPT(14)	346240507457196991	0 46 60 88 100 126 148 168 190 216 228 256 270 316	-24231949858
SPT(14)	346240515006524431	0 16 42 52 82 90 100 108 118 126 156 166 192 208	-16682622418
SPT(14)	346240518198674251	0 42 48 130 132 136 148 150 162 166 168 250 256 298	-13490472598
TPT(12)	346240520883369821	0 2 18 20 36 38 78 80 90 92 228 230	-10805777028
TPT(12)	346240560283130087	0 2 12 14 24 26 42 44 84 86 120 122	28593983238
TPT(12)	346240564113908801	0 2 36 38 78 80 96 98 108 110 138 140	32424761952
SPT(14)	346240618963942193	0 8 30 74 86 126 170 234 278 318 330 374 396 404	87274795344
TPT(12)	346240621958154941	0 2 66 68 78 80 90 92 180 182 246 248	90269008092
SPT(14)	346240645811962469	0 12 14 44 54 80 84 98 102 128 138 168 170 182	114122815620