[WildHighlander57]

I was able to download this one:

https://video.twimg.com/ext_tw_video/1157771164539850753/pu/vid/1280x720/Xnql4bcSeB66CZRs.mp4?tag=10

using this site:

http://twittervideodownloader.com/download

How to download videos from Twitter:

Open Twitter, and go to the tweet which contains twitter video.
Get the link/url of the tweet which have video. Method 1: Click on the tweet, and copy the url from address bar of the browser. ...
Paste the tweet link in the above input url box, and click on “Download” button.

[little jeremiah]

I was able to do that, but it still required clicking, just like posting a twitter and clicking on it.