The Office 2016 October 2016 updates and cumulative updates are now available, please see the links below:
Project 2016 October 2016 update:
SharePoint Server 2016 October 2016 update – Project Server 2016 fixes:
Nothing for Project Server 2016 at the moment
The Office 2013 October 2016 updates and cumulative updates are now available, please see the links below:
Project Server 2013 October 2016 CU Server Roll up package:
Project Server 2013 October 2016 update:
Project 2013 October 2016 update:
Also worth noting, if you haven’t done so already, install Service Pack 1 http://support2.microsoft.com/kb/2880556 first if installing the October 2016 CU.
As always, fully test these updates on a replica test environment before deploying to production.