  In this work, we supply an engineering solution that paves the way to the
implementation of the full classification table of topological insulators with
passive acoustic crystals. As an example, we design an acoustic crystal
displaying the full range of characteristics of a topological insulator from
class D, such as non-trivial Chern numbers and an exact particle-hole symmetry
for both bulk and edge dynamics. The key is a particular geometry of the
acoustic resonators that facilitates a large number of independent and
equal-strength couplings, eight to be precise, such that the mode-coupling
theory remains accurate. The latter enables us to implement with high fidelity
the de-complexified tight-binding model generating the topological phases from
class D in 2-dimensions, previously announced in [Barlas et al, PRB (2018)].
The successful realization of a topological acoustic crystal from class D paves
the way to the observation of the Majorana-like modes stabilized by pi-fluxes.
