  We report on the design and performance of a double-sided coincidence
velocity map imaging spectrometer optimized for electron-ion and ion-ion
coincidence experiments studying inner-shell photoionization of gas-phase
molecules with soft X-ray synchrotron radiation. The apparatus employs two
microchannel plate detectors equipped with delay-line anodes for coincident,
time- and position-resolved detection of photo- and Auger electrons with
kinetic energies up to 300\,eV on one side of the spectrometer and photoions up
to 25\,eV per unit charge on the opposite side. We demonstrate its capabilities
by measuring valence photoelectron and ion spectra of neon and nitrogen, and by
studying channel-resolved photoelectron and Auger spectra along with
fragment-ion momentum correlations for chlorine $2p$ inner-shell ionization of
\textit{cis}- and \textit{trans}-1,2-dichloroethene.
