The entrance to apartment rental No. 17 Residences, the latest addition to the up-and-coming Allapattah community. NEOLOGY LIFE DEVELOPMENT GROUP Want to be close to the Miami Health District? Hurry — space in Allapattah’s newest rental building is going fast. Since opening earlier this month, 14-story No. 17 Residences is already half full, said Lissette Calderon, president and CEO of the Miami-based Neology Life Development Group. Renters — primarily medical and graduate students and health district employees — were able to begin moving in after the 192-unit building at 1569-1652 NW 17th Ave. received approvals last week.