SOMBRERO is a high-performance parallel HPC benchmark developed from research software used in Lattice Gauge Theory. SOMBRERO specifically tests the conjugate gradient inversion of a physically interesting sparse stencil operator across a four-dimensional array of small complex matrices. Since the shape of these matrices and the vectors on which they act changes with the properties of the theory under study, so does the ratio of floating point computations to the number of bytes sent across the interconnect. The benchmark has been tested on a variety of platforms and architectures, including Intel, AMD, and Arm microarchitectures and Intel and Mellanox interconnects. In this poster, we will present details of the operation of the benchmark, and test results from a sample of systems we have tested.