I am an absolute beginner on Docker - but loves it after installing Node-Red and Domoticz - worked as a dream!
The command I used was:
docker run --name space-1 -d -p 8020-8040:8020-8040 alnoda/sqlite-workspace
This gave me access to the workspace using localhost:8020.
I created a sample database from the SQLite dababased browser, but I was not sure how to restart the image, or whatever it is called.
I have been digging around to find how to set automatic restart, and then I looked at the example I used starting Node-Red and Domoticz, and i turned out to be:
Docker update –restart unless-stopped space-1
The data seems to be persistent.