Negatively charged silicon-vacancy (SiV
−) centers in diamond offer an attractive platform for the development of many forms of quantum technology. However, questions remain in connection to how large ensembles of SiV
− centers behave in concert. Here, we develop a computational model designed to simulate recent experiments where optical multidimensional coherent spectroscopy (MDCS) was used to examine a high-concentration sample of SiV
− centers in diamond, revealing significant variations in spectral signature depending on the detection scheme. Simulation results reveal that strain effects are highly random in this system, with a characteristic axial strain of
2.8×10−4 and a shear strain of
3.5×10−5. They suggest in addition that highly strained centers (with values exceeding
1.5×10−5) may become significantly decoupled from optical emission. The results have implications for the use of SiV
− centers as quantum sensors.