CentOS Errata and Enhancement Advisory 2016:1388 

Upstream details at : https://rhn.redhat.com/errata/RHEA-2016-1388.html

The following updated files have been uploaded and are currently 
syncing to the mirrors: ( sha256sum Filename ) 

i386:
b6b5b63b31f42b6e194c762ae5ec10cdd1e08359ed7015d0425d9375918d391b  tzdata-2016f-1.el5.i386.rpm
3813186374237f8d57dcc12305989ffc85439da688547bc0a3d00d278939e648  tzdata-java-2016f-1.el5.i386.rpm

x86_64:
fef29332530b30b2f4cd78fbd72808af620b9bcaee2c511094d281ef683310e3  tzdata-2016f-1.el5.x86_64.rpm
e2c8f6d3e3588cad6d7e387d269c106bd9ed4cabc1ff6e6aa693d16ce635e168  tzdata-java-2016f-1.el5.x86_64.rpm

Source:
a246561964dc10dca6846bd3124776797047a4baef0c21079dfb528e96c73e5a  tzdata-2016f-1.el5.src.rpm