List of non-isomorphic trees on (up to $21$ vertices)

combinatoricsgraph theorytrees

I've been doing some brute force searches to find trees with a certain property and I've run out of convenient lists of trees I can check. For up to 13 vertices, I've been using the list of chordal graphs from this website: http://users.cecs.anu.edu.au/~bdm/data/graphs.html – does anyone have or know how I could (easily) generate a list of non-isomorphic trees on 14+ vertices? My programming skills are still a work in progress, so I'm somewhat limited in the algorithms I can implement. There are about $2,000,000$ non-isomorphic on $21$ vertices, which is about all I can brute force search so if anyone knows of a list up to $21$ vertices, I would be very grateful.

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