A system 100 for treating a hole in a tissue structure comprises a handle 302, a catheter coupled to the handle 302, a tip portion extending from a distal end of the catheter, a tether system coupled to the handle body 302 and extending through the catheter, and a medical device including a frame. The tether system includes one or more tethers 364, with each tether 364 including a coil defining a lumen with a first wire and a second wire each extending through the lumen. The frame is configured to assume a substantially flat configuration and has a central portion and a proximal anchor extending from the central portion. The proximal anchor is configured to be coupled to the one or more tethers and configured to deflect proximally from the central portion when constricted in the tip portion. The second wire includes a loop and the first wire is configured to engage with the loop to couple the medical device and maintain the medical device taut against the coil.