Hi Steven,
There is no current BI Service pack which is compatible with Office 2016.
The Latest Supported Platform Guide can be found on link where these version are supported with BI 4.1 : http://scn.sap.com/docs/DOC-41355
For Office 2016 Support you can wait for BI 4.2 which may include that but until the product is not launched the supported guide will not be released.
Current pack is BI 4.1 SP6 where above office versions are supported but you may expect in future service pack of BI i.e. SP6+ in BI 4.1 that it will be tested.
Hope this will help you.
Regards,
Mahak