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We use symplectic self-dual additive codes over   \begin{document}$ \mathbb{F}_4 $\end{document}   obtained from metacirculant graphs to construct, for the first time,   \begin{document}$ \left[\kern-0.15em\left[ {\ell, 0, d} \right]\kern-0.15em\right] $\end{document}   qubit codes with parameters   \begin{document}$ (\ell,d) \in \{(78, 20), (90, 21), (91, 22), (93,21),(96,22)\} $\end{document}  . Secondary constructions applied to the qubit codes result in many new qubit codes that perform better than the previous best-known.

New quantum codes from metacirculant graphs via self-dual additive $\mathbb{F}_4$-codes