There are 17 known phases of ice. When you deal with ice, you are almost always dealing with I_h which expands as it freezes. However, at different temperatures and pressures (pressure being the more important one here) different types of ice form. In the case of staying close(ish) to regular freezing temperature, and upping pressure until ice forms, you'd end up at Ice III.
You're unlikely to see this outside of a lab though, since you need to put water into a container which can withstand over 43,000 PSI of pressure, otherwise the ice wins and will crack the container.