A brand new 238-unit apartment projects is going to be built in the area bound by East Virginia Street, Martha Street, South 5th Street, and South 6th Street. All of those units are going on a site that is less than 4 acres, so it is even more dense than it looks from the photos below. The project is just outside the Downtown core, but is close enough so that most of the residents will be utilizing Downtown's amenities. This looks like a great project for the area!
Source: Mark (from Think Bigger San Jose and Content Magazine)