A surgical closure device (100) includes (a) a continuous loop (110), which defines an opening (112) therethrough, and which is configured to assume at least an open shape and a closed shape, and (b) four or more tissue anchors (130), coupled to the loop (110). An area of the opening (112) when the loop (110) assumes the closed shape is less than 80% of the area of the opening (112) when the loop (110) assumes the open shape. The loop (110) is configured such that, as the loop (110) transitions from the open shape to the closed shape, all of the anchors (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 second set of two or more of the anchors (130B) move on average a second distance that is between 40% and 80% of the first distance.