The paper is structured as follows: After revisiting the theory and detailing the Hamiltonian improvements, we describe the changes in both the CEH parameter fit and the q-vSZP optimization, as well as the extensions to newly considered elements for both parts. The quality of the CEH charges is assessed by comparison to corresponding DFT data across a large and chemically diverse set of molecules, including "mindless" molecules (MLMs) and actinide complexes. Lastly, an established range-separated density functional (ωB97X-D4 ) is used to benchmark the q-vSZP basis set on standard thermochemical data and realistic f -element applications.