On the 19th of June 1966 two Ford GT40 MkII cars which had been driven by three Kiwis and an Englishman, for 24 hours, crossed the finish line at Le Mans side by side.
The organisers didn't take to the idea of staged dead heats and awarded the win to
Bruce McLaren and Chris Amon.
This was on the basis they had started further back on the grid and thus had covered a greater distance in the 24 hours.
The second placed car was driven by Denny Hulme and Ken Miles (UK).
The two lead cars had covered 4843 laps in the 24 hours. A third GT40 driven by
Ronnie Bucknum and Dick Hutcherson finished in third place with 4682 laps to their credit.

Well this was a good story and seemed to be the case when this page was first published on the Pitlane site. However further investigation and reference to articles by Jean Pierre van Rossem on the IMCA site shows that a bit of poetic license was used in reports to the time. The photos lifted from JP's article clearly show the cars were close but not in line.

Black & white photos from
GT40
An Individual History and Race Record
Author: Ronnie Spain
Publisher: Osprey Automotive

Two photos above from JeanPierre's excellent articles on sports racing in the 1963 - 1972 era.
The articles take time to load if you are using a dialup connection
 but the content and illustrations make the wait worthwhile.
(Click on all photos for enlargements)