qgis - Selecting duplicate records in PyQGIS

I have a lot of coordinates in attribute table like this one:

I'm looking the way how to find and select on active layer duplicated points using Python in QGIS ? I needn't delete them but only find and show (or select).

Answer

This code should do the job (you need to have your layer activated before running it from the Python Console):

layer = iface.activeLayer()

allfeatures={}
index = QgsSpatialIndex()
for ft in layer.getFeatures():
    allfeatures[ft.id()] = ft
    index.insertFeature(ft)


selection = []
for feat in layer.getFeatures():
    inGeom = feat.geometry()
    idsList = index.intersects(inGeom.boundingBox())
    if len(idsList) > 1:
        for id in idsList:
            selection.append(allfeatures[id])
layer.setSelectedFeatures([k.id() for k in selection])