She broke up with you because she didn't like the distance. Unless you've moved to where she lives then the same issue that made her break up with you is still very much in place. What makes you think she was only kidding when she said "I don't like the distance?" (or something similar)
You did the right thing by requesting no contact. The only thing you did wrong was that you forgot to let yourself get over her and you hoped that going NC would manipulate her into wanting to be back with you.
It's time for you to accept that all things come to an end either through distance or death. In this case she has created the distance both physically and mentally from you.
“The willingness to accept responsibility for one’s own life is the source from which self-respect springs.” ~Joan Didion