We investigate clusters of misaligned (inclined) tori orbiting a central static Schwarzschild black hole. To this purpose we considered a set of geometrically thick, pressure supported, perfect fluid tori analyzing purely hydrodynamic models. We study the tori collision emergence and, consequently, the stability properties of the aggregates composed by tori with different inclination angles relative to a fixed distant observer. The aggregate of tilted tori is modeled as a single orbiting configuration, by introducing a leading function governing the distribution of toroids around the black hole attractor. Eventually the tori agglomerate can be seen, depending on the tori thickness, as a (multipole) gobules of orbiting matter, with different toroidal spin orientations , covering the embedded central black hole. These systems are shown to include tori with emerging instability phase related to accretion onto the central black hole. Therefore we provide an evaluation of quantities related to tori energetics such as the mass-flux, the enthalpy-flux, and the flux thickness depending on the model parameters for polytropic fluids. Consequently this analysis places constraints on the existence and properties of tilted tori and aggregate of misaligned disks. Some notes are included on aggregates including proto-jets, represented by open cusped solutions associated to the geometrically thick tori.