  We report the first search results for axion dark matter using an 18\,T
high-temperature superconducting magnet haloscope. The scan frequency ranges
from 4.7789 to 4.8094\,GHz. No significant signal consistent with the Galactic
halo dark matter axion is observed. The results set the best upper bound of
axion-photon-photon coupling ($g_{a\gamma\gamma}$) in the mass ranges of 19.764
to 19.771\,$\mu$eV (19.863 to 19.890\,$\mu$eV) at
1.5$\times|g_{a\gamma\gamma}^{\text{KSVZ}}|$
(1.7$\times|g_{a\gamma\gamma}^{\text{KSVZ}}|$), and 19.772 to 19.863\,$\mu$eV
at 2.7 $\times|g_{a\gamma\gamma}^{\text{KSVZ}}|$ with 90\% confidence level,
respectively. This remarkable sensitivity in the high mass region of dark
matter axion is achieved by using the strongest magnetic field among the
existing haloscope experiments and realizing a low-noise amplification of
microwave signals using a Josephson parametric converter.
