There doesn't seem to be a case-sensitive "Specials" menu for the Sequencer(like shortcut key 'w' in 3d View). How do I add one to the Sequencer with python scripting? 

(I know about the "Add" menu in the sequencer, and options can be added to this one, but I need a new menu only containing case-sensitive editing options. Ex. if there is a gap between two strips at the mouse cursor position, then a "Remove gap" option would become selectable in the menu.) 

This is where I am at the moment(menu containing the add menu options):

    import bpy
    from bpy.types import Menu
    
    class SEQUENCER_MT_edit(Menu):
        bl_label = "Edit"
        bl_idname = "sequencer.edit_menu"                        # ID name of the class that code will call, lowercase
        def draw(self, context):
            layout = self.layout
    
            layout.operator_context = 'INVOKE_REGION_WIN'
    
            if len(bpy.data.scenes) > 10:
                layout.operator_context = 'INVOKE_DEFAULT'
                layout.operator("sequencer.scene_strip_add", text="Scene...")
            else:
                layout.operator_menu_enum("sequencer.scene_strip_add", "scene", text="Scene")
    
            if len(bpy.data.movieclips) > 10:
                layout.operator_context = 'INVOKE_DEFAULT'
                layout.operator("sequencer.movieclip_strip_add", text="Clips...")
            else:
                layout.operator_menu_enum("sequencer.movieclip_strip_add", "clip", text="Clip")
    
            if len(bpy.data.masks) > 10:
                layout.operator_context = 'INVOKE_DEFAULT'
                layout.operator("sequencer.mask_strip_add", text="Masks...")
            else:
                layout.operator_menu_enum("sequencer.mask_strip_add", "mask", text="Mask")
    
            layout.operator("sequencer.movie_strip_add", text="Movie")
            layout.operator("sequencer.image_strip_add", text="Image")
            layout.operator("sequencer.sound_strip_add", text="Sound")
    
            layout.menu("SEQUENCER_MT_add_effect")
    
    def register():
        bpy.utils.register_class(SEQUENCER_MT_edit)
    
        # handle the keymap
        wm = bpy.context.window_manager
        kc = wm.keyconfigs.addon
        if kc:
            km = wm.keyconfigs.addon.keymaps.new(name='Sequencer', space_type='SEQUENCE_EDITOR')
            km = wm.keyconfigs.addon.keymaps.new(name='3D View', space_type='VIEW_3D')
            kmi = km.keymap_items.new(SEQUENCER_MT_edit.bl_idname, type='RIGHTMOUSE', value='PRESS', shift=True)
            addon_keymaps.append((km, kmi))
    
    def unregister():
    
        for km, kmi in addon_keymaps:
            km.keymap_items.remove(kmi)
        addon_keymaps.clear()
    
        bpy.utils.unregister_class(SEQUENCER_MT_edit)
    
    
    if __name__ == "__main__":
        register()