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plantri is integrated to Sage via the graphs.planar_graphs generator, see the following for the documentation:
sage: graphs.planar_graphs?
In your case, you can iterate like this:
sage: for G in graphs.planar_graphs(6, minimum_connectivity=3):
....: plot(G)
You can check:
sage: list(graphs.planar_graphs(4, minimum_connectivity=3))[0].is_isomorphic(graphs.CompleteGraph(4))
True
