  Ultra-diffuse galaxies have generated significant interest due to their large
optical extents and low optical surface brightnesses, which challenge galaxy
formation models. Here we present resolved synthesis observations of 12
HI-bearing ultra-diffuse galaxies (HUDs) from the Karl G. Jansky Very Large
Array (VLA), as well as deep optical imaging from the WIYN 3.5-meter telescope
at Kitt Peak National Observatory. We present the data processing and images,
including total intensity HI maps and HI velocity fields. The HUDs show ordered
gas distributions and evidence of rotation, important prerequisites for the
detailed kinematic models in Mancera Pi\~na et al. (2019b). We compare the HI
and stellar alignment and extent, and find the HI extends beyond the already
extended stellar component and that the HI disk is often misaligned with
respect to the stellar one, emphasizing the importance of caution when
approaching inclination measurements for these extreme sources. We explore the
HI mass-diameter scaling relation, and find that although the HUDs have diffuse
stellar populations, they fall along the relation, with typical global HI
surface densities. This resolved sample forms an important basis for more
detailed study of the HI distribution in this extreme extragalactic population.
