Approaches to generate various phylogenetic tree topologies (Chained, balanced and unbalanced trees)

Question

[Felix Francis]

Are there any algorithms/tools to generate various topologies of phylogenetic trees? I am looking at approaches that can generate chained, balanced and unbalanced (at various thresholds) trees from a distance matrix or an existing tree.

[yifangt86]

I was looking for the opposite direction to convert newick file to the distance matrix. Too many packages on phylogenetics, but it seems there is no straight answer for non-phylogeneticist like me.