The feature failed to activate because a list at 'PublishingImages' already exists in this site. Delete or rename the list and try activating the feature again.

The most common issue we may face when we try to activate SharePoint Publishing infrastructure Feature from Manage site features.

Try to activate that feature using Shell command. It will work out with out error:

 Enable-SPFeature -Identity PublishingWeb -URL http://test:1000/ -Force

thank you,