It is possible to create heatmaps with dendrograms with the help to R. You would have to check the code if the distance and cluster settings fit your needs. You can also export the numbers behind the clustering of the 'teeth'. The data is from the 'cars' dataset like in your example. I did not check if the heatmap makes sense. The interpretation would have to be done in addition to some column selection and it might be necessary not normalize some data in order for it to make sense in such a display.
This is a companion discussion topic for the original entry at https://kni.me/w/F7jk-Ao9rhyfW8Ma