There are separate lens profiles for camera raw and JPEG files. If you are using JPEG files you will see less profiles. What camera model are you using?
I've a Canon EOS 70D with Canon EF-S 18-200 IS.
I'm using JPG files.
There is a lens profile for the Canon EF-S 18-200 IS, but only for raw files. You can install and download the Adobe Lens Profile Downloader, which has a JPEG profile for this lens. The profiles are created by other users and contributed for others to use. The camera model does not matter as long as it's the same sensor type 'Crop Factor.' A '1' Crop Factor profile will also will work properly on a '1.6' Crop Factor camera, but not vice-versa.
Select the above profile and click on the Download button to install the profile.
I'll try to do it tonight.