Hi philjfry,
Here is a link for reference of the detailed steps to deploy a Windows 10 image using MDT 2013 Update 1
Deploy a Windows 10 image using MDT 2013 Update 1
https://technet.microsoft.com/library/mt297534.aspx
Someone has come across the similar error code by miconfiguring the 'Drivers and Patches' on the WinPE section.
Here is the link for reference:
MDT2012 Update 1 Error 5624
https://social.technet.microsoft.com/Forums/en-US/f511f2a2-3f00-49e0-a512-dc66bc0104c3/mdt2012-update-1-error-5624?forum=mdt
To troubleshoot a MDT error, the BDD.log (%WINDIR%\TEMP\DeploymentLogs)is always useful.
Best regards