We present in this work the calibration procedure and a performance study of long scintillator bars used for the time-of-flight (TOF) measurement in the HADES experiment. The digital front-end electronics installed at the TOF detector required to develop novel calibration methods. The exceptional performance of the spectrometer for particle identification and pointing accuracy allows one to determine in great detail the response of scintillators to minimum ionizing particles. A substantial position sensitivity of the calibration parameters has been found, in particular for the signal time walk. After including the position dependence, the timing accuracy for minimum ionizing particles was improved from 190~ps to 135~ps for the shortest rods (1475 mm) and to 165~ps for the longest (2356 mm). These results are in accordance with the time degradation length of the scintillator bars, as determined from previous measurements.