  We present a publicly available software package developed for exploring
apodized pupil Lyot coronagraph (APLC) solutions for various telescope
architectures. In particular, the package optimizes the apodizer component of
the APLC for a given focal-plane mask and Lyot stop geometry to meet a set of
constraints (contrast, bandwidth etc.) on the coronagraph intensity in a given
focal-plane region (i.e. dark zone). The package combines a high-contrast
imaging simulation package HCIPy with a third-party mathematical optimizer
(Gurobi) to compute the linearly optimized binary mask that maximizes
transmission. We provide examples of the application of this toolkit to several
different telescope geometries, including the Gemini Planet Imager (GPI) and
the High-contrast imager for Complex Aperture Telescopes (HiCAT) testbed.
Finally, we summarize the results of a preliminary design survey for the case
of a 6~m aperture off-axis space telescope, as recommended by the 2020 NASA
Decadal Survey, exploring APLC solutions for different segment sizes. We then
use the Pair-based Analytical model for Segmented Telescope Imaging from Space
(PASTIS) to perform a segmented wavefront error tolerancing analysis on these
solutions.
