Is there any graph / graph plotting package that allow edges having different color and length based on its identity and weight?

I have found the TikzGraphs package which wraps Tikz/Pgf really powerful. It satisfies most of what I want to do except I cannot figure out how to specify the length of each edge according to its weight. Following image is what I have achieved so far. Check out my codes here in Polymer.jl.

testgraph

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