  In order to construct quantum $[[n,0,d]]$ codes for $(n,d)=(56,15)$,
$(57,15)$, $(58,16)$, $(63,16)$, $(67,17)$, $(70,18)$, $(71,18)$, $(79,19)$,
$(83,20)$, $(87,20)$, $(89,21)$, $(95,20)$, we construct self-dual additive
$\mathbb{F}_4$-codes of length $n$ and minimum weight $d$ from circulant
graphs. The quantum codes with these parameters are constructed for the first
time.
