In order to support the growing satellite propulsion industry, a hybrid Particle-In-Cell (PIC) simulation with fluid treatment of electrons and neutral particles was developed to model the SPT-70 Hall thruster. The 2D, C++ code assumes azimuthal symmetry and a uniform magnetic field in the radial direction with the simulation domain limited to the thruster cavity. Ions are treated as discrete superparticles while electrons are assumed to distribute instantaneously along magnetic field lines according to the Boltzmann relationship and diffuse across magnetic field lines through classical electron diffusion. The results from simulations with various operational parameters of the SPT-70 are compared to experimental data. Simulated thrust underestimates experimental thrust but approximately models electron, ion, and neutral particle transport within the thruster cavity.