Meshing: Self-intersecting faces

Here is one of the highest quality meshes we generated today;

The mesh is about 13M tets, which I am not a fan of, but I need a solid starting point! There are 6 materials in the model. This is a breast cancer model, so the materials represent: chest cavity, soft tissue, fibro-glandular tissue, and masses/tumors. We get holes in areas/regions where 3 models intersect;

Now here is the interesting part. Although I started with the adaptive parameters (scale, multiplier, etc.), these results were obtained using the alpha flags the developers presented here

I will continue to explore adaptive meshing parameters to see if better results are obtained.

Any suggestions or information would be greatly appreciated