In 1998 and 1999 the Whipple Observatory 10 m telescope was used to search
for diffuse gamma-ray emission from the Galactic plane. At this time, the t
elescope was equipped with a large (4"8) held of view camera, well suited t
o detect diffuse gamma-ray emission. No significant evidence of emission wa
s found. Assuming the TeV emission profile matches EGRET observations above
1 GeV with a differential spectral index of 2.4, we derive an upper limit
of 3.0 x 10(-8) cm(-2) s(-1) sr(-1) for the average diffuse emission above
500 GeV in the Galactic latitude range from -2 degrees to +2 degrees at Gal
actic longitude 40 degrees. Comparisons with EGRET observations provide a l
ower limit of 2.31 for the differential spectral index of the diffuse emiss
ion, assuming there is no break in the spectrum between 30 and 500 GeV. Thi
s constrains models for diffuse emission with a significant inverse Compton
contribution.