You can use the following command to get the start time of a docker container in a unix timestamp (seconds since 1970).
docker inspect --format='{{.State.StartedAt}}' <CONTAINERID> | xargs date +%s -d
Just replace <CONTAINERID>
with the actual container id.
Or you can use this to get the start time of all your containers:
docker ps -q | xargs docker inspect --format='{{.State.StartedAt}}' | xargs -n1 date +%s -d