Shire Human Genetic Therapies, Inc., a biotechnology company and subsidiary of Shire, Plc that focuses on aiding those with rare diseases, will expand its presence in Kendall Square significantly after signing a 12-year lease with BioMed Realty for 343,000 square feet in the office building at 500 Kendall St. in Cambridge, MA.

Developed in 2002 as the headquarters for biotech company and Sanofi subsidiary Genzyme, the 12-story building formerly…