Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See page_maxonapi_getting_started_foundations_cinema_parameters.
Parameter: Presets
PRESET_OPTIONS_PRESETS
Parameter: Save...
PRESET_OPTIONS_PRESETS_CUSTOM_SAVEBUTTON
Parameter: Delete...
PRESET_OPTIONS_PRESETS_CUSTOM_DELETEBUTTON