Issue #1352: I can login in my website with one twitter app and not with any other app that has the exact same settings.

I have created a twitter app to Sign in with Twitter in my website and it works just fine. If I create another app with the same settings, I cannot login.
Actually, twitter redirects the user on the provided callback, I get an access token, but when I call 'account/verify_credentials' I get this error message: [message] => Could not authenticate you, [code] => 32.