Partnership self insurance pool

[Chuck H.]

I am part of a limited partnership in which the partners each own several properties. We currently each self insure, but also considering getting insurance to minimize risk. Is there an insurance “pool” similar to the medical industry in which the entire partnership would pay into, but managed by an insurance company? The company would investigate and pay claims, but the money would come from our own funds.

I am not looking for specific companies. Just that this service exists.