When I was attempting to deploy Office 2016 during a demo on my lab I came across the following error when deploying the software from the Software Center.
By default Configuration Manager client stores deployed packages in %windir%ccmcache folder and default disk space for cache folder is 5120 MB. My office deployment was around 6Gb so there was the issue.
To increase the cache size on the client, open the Configuration Manager Management Console > Administration > Site Configuration > Sites > Right Click your site > Client Installation Settings > Client Push Installation.
Open the Installation Properties tab and enter SMSCACHESIZE=8000
Redeploy the Client to the Client Machine then attempt to install the software again.
Open the Configuration Manager applet in Control Panel on the Client Machine. Click the Cache Tab > Configure Settings > Change Cache Size
Click OK and attempt the installation again.