The medium re-shaped the pulse. The gas was prepared in a way that it cohernetly aplified the signal. When the first part of the pulse went in, it got amplified. The front of the pulse became the peak.
In the frequency-decomposition picture, instead of the red, green and blue peaks lining up as they normally would when passing through a dispersive medium, they were reshaped because the blue and red behaved differently. The peak (where the colors add up, i.e. in phase) moved forward relative to the normal peak.
The peak didn't travel at c - it went faster - but the light, as a whole, did. The light pulse is not infinitely thin in time or space.