  The exclusive deep inelastic electroproduction of $\psi(2S)$ and $J/\psi(1S)$
at an $ep$ centre-of-mass energy of 317 GeV has been studied with the ZEUS
detector at HERA in the kinematic range $2 < Q^2 < 80$ GeV$^2$, $30 < W < 210$
GeV and $|t| < 1$ GeV$^2$, where $Q^2$ is the photon virtuality, $W$ is the
photon-proton centre-of-mass energy and $t$ is the squared four-momentum
transfer at the proton vertex. The data for $2 < Q^2 < 5$ GeV$^2$ were taken in
the HERA I running period and correspond to an integrated luminosity of 114
pb$^{-1}$. The data for $5 < Q^2 < 80$ GeV$^2$ are from both HERA I and HERA II
periods and correspond to an integrated luminosity of 468 pb$^{-1}$. The decay
modes analysed were $\mu^+\mu^-$ and $J/\psi(1S) \,\pi^+\pi^-$ for the
$\psi(2S)$ and $\mu^+\mu^-$ for the $J/\psi(1S)$. The cross-section ratio
$\sigma_{\psi(2S)}/\sigma_{J/\psi(1S)}$ has been measured as a function of
$Q^2, W$ and $t$. The results are compared to predictions of QCD-inspired
models of exclusive vector-meson production.
