Modular Zauner's conjecture for Hilbert C*-modules

Let $\mathcal{A}$ be a unital C*-algebra, let $d\in\mathbb{N}$, and let $\mathcal{A}^d$ denote the standard Hilbert C*-module. A unit inner product frame has $\langle\tau_j,\tau_j\rangle=1$ for every index, and a frame is $\gamma$-equiangular when the products of mutual inner products equal a fixed positive element $\gamma$. Modular Zauner's conjecture. For every $d\in\mathbb{N}$, there exists a $\frac{1}{d+1}$-equiangular unit inner product frame $\{\tau_j\}_{j=1}^{d^2}$ for $\mathcal{A}^d$; equivalently, there is a tight frame satisfying $\langle\tau_j,\tau_j\rangle=1$ and

$$\langle\tau_j,\tau_k\rangle\langle\tau_k,\tau_j\rangle=\frac{1}{d+1},\qquad 1\leq j,k\leq d^2,\ j\neq k.$$

This extends Zauner's conjecture from Hilbert spaces to Hilbert C*-modules. The supplied text does not state whether the conjecture is open, solved, or refuted.