I'm not familiar with the details of this construction, but in general massive building materials (concrete, CMU, brick) are your friend. The risks are penetrations through these materials for pipes and electrical conduit or other openings at the top of wall.
It would make for a good blog post to talk about how mass relates to sound blocking between spaces and how we've learned to "hack" wall partitions using mass-air-mass assemblies (like standard drywall walls) instead of just mass alone.
The exterior is clay bricks on mortar.
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