c4d_base/description/fbase.hParameters are accessed with cinema::C4DAtom::GetParameter() and cinema::C4DAtom::SetParameter(). See Parameters.
Parameter: Presets
PRESET_OPTIONS_PRESETSParameter: Save...
PRESET_OPTIONS_PRESETS_CUSTOM_SAVEBUTTONParameter: Delete...
PRESET_OPTIONS_PRESETS_CUSTOM_DELETEBUTTON