Developed Access Web app on Office 365 - cannot publish it to On Premises SharePoint 2013

I developed an Access Web app, which works fine on Office 365.

Now I want to deploy it to our on premises SharePoint 2013 farm

After I upload the .app package I created from it to our app catalog it shows 'Valid App Package = no':

In the ULS log I found the following:

There were errors when validating the App package: There were errors when validating the App Package. Other warnings / errors associated with this exception:  The current version of SharePoint is less than the SharePointMinVersion specified in the app manifest. CurrentVersion='15.0.4569.1000', SharePointMinVersion='16.0.0.0'

Is there any way that I can work around this, other then recreating the app manually on our on premises farm?