Finding a simple *nix distro that can run Wine

I am looking a distro of either Linux or Unix, that is so very limited that I don't even need a desktop or any applications, it's only use would be to run wine. I actually would prefer it didn't have a desktop but I am not sure if it would be possible to run windows applications in wine without it? I am looking for as light weight as possible, and small as possible but has the ability to run Wine and the windows applications that Wine runs. I know it seems like a weird request but I am a hobbyist building a gadget that runs windows applications. I have seen some small distros but I havent found official wine releases for them so I am not sure if they would run it properly. Is it possible to run windows apps from wine without a desktop and just a command line Distro? I spent hours lastnight trying to find something suitable to no avail, I am very unfamiliar with the *nix world though.