Gate-controllable two dimensional systems with in-plane modulation of properties could serve as highly tunable effective media. Intuitively, such systems may bring novel functionality provided that the period of the lateral modulation is much less than the relevant scattering lengths (mean free path, coherence length etc.). Our work experimentally demonstrates the opposite, disordered limit of such system, defined in the macroscopically modulated metal-oxide-semiconductor structure. The system consists of parent two-dimensional gas with periodic array of islands(dots/antidots), filled with two-dimensional gas of different density, and surrounded by depletion regions(shells). Carrier densities of both parent gas and islands are controlled by two independent gate electrodes, allowing us to explore a rich phase diagram of low-temperature transport properties of this modulated two-dimensional system, resembling various transport regimes: insulating, shell-dominated, gasdominated, dot-dominated. These regimes can be identified by various Hall resistance and its magnetic field dependence, temperature dependencies of the resistivity, and Shubnikov-de Haas patterns. Thus, our work demonstrates feasibility of the macroscopically inhomogeneous two-dimensional system as a tunable platform for novel physics and applications.