About 10-15 years ago there was a mail plane operation with a British Midland (as they were then) 737 from Edinburgh into LHR which arrived about 00.30 Local, when there was nothing else about. I noticed this arriving a few times from the M4 motorway when heading back into London at that time, more often than not because they seemed to be doing the equivalent of what a PPL would call a Bad Weather Circuit, curving round onto 27R surprisingly close to the markers. In fact you had to look for a few seconds to determine if they headed for 23 or 27R.