This interesting interview was recorded (but completely excised) in the context of the three-part TV documentary "The Genius of Charles Darwin" made by Richard Dawkins for the British Channel 4. The uncut interview lasts about one hour.
Unlike many other Christians George Coyne accepts the scientific findings about evolution. This position is even in his own Catholic church not always appreciated. Although denied by all concerned, many believe that the pope replaced him as director of the observatory of the Vatican because of this position. See for example http://www.dailymail.co.uk/news/article-401950/Pope-sacks-astronomer-evolution-debate.html. About the controversy within the Catholic Church see http://www.catholictruthscotland.com/blog/2009/01/richard-dawkins-interviews-father-george-coyne/.
You can watch the three-part documentary "The Genius of Charles Darwin" here.
Edit 9/8/2014: maybe it is more appropriate to watch this and other documentaries by Richard Dawkins here (and elsewhere) on YouTube.