An apparatus according to one embodiment includes a module having a tape bearing surface, a first edge, and a second edge. A sensor is located in a thin film region of the module. The sensor has a free layer. A distance from the first edge to the free layer is less than a distance from the second edge to the free layer. A method according to another embodiment includes detecting a distance between a free layer of a sensor and an edge closest thereto. The free layer is positioned between an upper shield and the edge. A wrap angle is selected based on the detected distance for inducing tenting of a magnetic recording tape in a region above the free layer when the magnetic recording tape moves over the module.