Since Google API doesn't support phylograms (and certainly not unrooted 
trees), is there a way I can do a distance matrix-based heat map.

Allow me to illustrate:

Suppose I have the following distance matrix, where 0 is identity, and the 
larger the number, the greater the distance.

  Generation X Boomers Silent Missionary GI Lost  X 0 0.021 0.269 0.954 
0.558 1.031  Boomers 0.021 0 0.224 0.896 0.48 0.795  Silent 0.269 0.224 0 
0.417 0.342 0.7  Missionary 0.954 0.896 0.417 0 0.417 0.997  GI 0.558 0.48 
0.342 0.417 0 0.269  Lost 1.031 0.795 0.7 0.997 0.269 0 
>From that, I wish to generate this (where black = 0 distance, and white = 
max distance, although I could code the colors in lots of other ways):

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