  The paper describes profile broadening and peak wavelength variation of
diffuse interstellar bands (DIBs) measured for 46 lines of sight, probably
caused by physical properties of intervening clouds. Full width at half maximum
of four studied diffuse bands (5780, 5797, 6196 and 6614 \AA) demonstrate
strong variability sometimes doubling the features' width. Despite the high
magnitude of the effect, our current analysis is restricted to the strongest
diffuse bands because the weaker ones require a much higher S/N ratio. The
profile broadening in the studied DIBs moves the profile's centers towards
longer wavelengths, probably due to the excitation of higher levels of the P
branch of the unknown molecular carrier. Moreover, diffuse bands are broader in
clouds with abundantly populated vibrationally excited states of the hydrogen
molecules, i.e. DIB's broadening correlates with the rotational temperature
estimated on H$_2$ $\nu$=2 vibrational level. However, objects demonstrating
extremely broadened profiles of DIBs are scarce. The extreme peculiarity of
DIBs' profiles was detected in Herschel~36. Here we show the gradual growths of
the widths of diffuse bands, confirmed in spectra from different instruments.
