how to convert a column with a list of coordinates (MultliLineString) into sf/st object on R?

Question

I have a dataframe whose one column contains list of coordinates latitudes and longitudes on every row. How can I convert them into sp/sf object (As I understood correctly, in order to make operations and plot them on the real data first I need to convert them into sf/sp objects.)

Here is how one entry under the coordinates column looks like on my data.frame :

Here is the Screen Shot

Thank you in advance to all!