"It was nice to get off to that start and then I had a good run in the middle of the course," said Goosen, who has not played this tournament since 2001.
David Lynn and Ross Bain both shot 6-under 66.
Tiger Woods, who made his 2006 debut last week with a playoff win at the Buick Invitational, carded a 5-under 67 and is tied for sixth place with Paul Casey, Nick Dougherty, Niclas Fasth, Nick O'Hern and last week's Qatar Masters champion, Henrik Stenson.
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