I need a copy of Quartus 14.0 or 14.1 to support an old project. If I try to download them I get a notice that they've been discontinued. Is there a way to get one or the other?
Yup, older versions have been deprecated and are not longer available for download. Quartus 17.0 and later are available.
Also, for older devices Quartus 13.1 and 13.0sp1 are available.
No other versions are available from the public download page.
Is there some reason you need 14.0/14.1 explicitly?
For other versions you will have to contact your Intel FAE directly and make a compelling case.