Avogadro does have a measure tool, which allows you to measure between atoms, 
and several features (e.g., the align tool) that allow you to align a molecule 
to a particular reference frame.

> For research purposes, I'm looking for a software package that is able  
> to calculate the size of organic molecules with weights ranging from  
...
> calculates molecular size ?

But your question makes it sound like you want to do this for a large batch of 
molecules. If so, I’d suggest you look at writing a little script, e.g., with 
Pybel:
http://openbabel.org/docs/2.3.1/UseTheLibrary/Python_Pybel.html

Hope that helps,
-Geoff
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