A method for operating a tape storage system includes simultaneously receiving readback signals from a set of data readers reading from data tracks of a set of adjacent data tracks extending along a longitudinal extension of a tape storage medium. Each data track has a width and each data reader has a width that exceeds the width of a data track. In the readback signal, of one of the data readers of the set a simultaneous presence of two defined waveforms is detected stemming from two different servo patterns arranged in servo sections of adjacent data tracks of the set. At least one of lateral position, velocity, gain and timing information is derived from a measure of the energy of the two defined waveforms detected in the readback signal of the data reader and applying this information in the operation of the tape storage system.