An affordable housing lottery has opened for 49 apartments in a towering new mixed-income development on Boerum Street in Williamsburg. The 19-story, 162-unit building at 159 Boerum Street, which rises far above any other structure on the block, has gone up on the site of the former parking lot attached to a low-lying 1980s affordable housing complex at 170 Johnson Avenue. Across the street and on nearby blocks are NYCHA housing projects including Borinquen Plaza I and II, Bushwick-Hylan Houses, and Williamsburg Houses.