The spatial distribution of the free exciton gas in high purity germanium at 4.2 K has been measured below and above the threshold for liquid condensation. Below threshold, the distribution is in agreement with a simple diffusion model, where the diffusion length is 0.316±0.032 mm. Above threshold, the gas density is constant inside the liquid cloud, and the gas diffuses with a characteristic length 0.398±0.040 mm outside the cloud.