A surgical closure device (100) includes(a) a continuous loop (110), which defines anopening (112) therethrough, and which is configuredto assume at least an open shape and a closed shape,and (b) four or more tissue anchors (130), coupled tothe loop (110). An area of the opening (112) whenthe loop (110) assumes the closed shape is less than80% of the area of the opening (112) when the loop(110) assumes the open shape. The loop (110) isconfigured such that, as the loop (110) transitionsfrom the open shape to the closed shape, all of theanchors (130) move in generally radial directions,and do not move in generally circumferential directions;and a first set of two or more of the anchors(130A) move on average a first distance, and a secondset of two or more of the anchors (130B) moveon average a second distance that is between 40%and 80% of the first distance.