Conjecture on universal polar dual pairs of spherical codes

Let $C$ be a PULB-optimal code, and let $D$ be its set of universal minima. Assume that $D$ is in general position, meaning that $D$ is not contained in a hyperplane. Universal polar dual pair conjecture. The code $C$ together with $D$ forms a PULB-optimal pair $(C,D)$ and generates a maximal PULB-optimal pair, and hence a universal polar dual pair. This conjecture is motivated by the fact that all examples of PULB-optimal configurations found so far satisfy the asserted property; its general validity remains open.