  We study the general formulation of gauged supergravity in seven dimensions
with sixteen supercharges keeping duality covariance by means of the embedding
tensor formalism. We first classify all inequivalent duality orbits of
consistent deformations. Secondly, we analyse the complete set of critical
points in a systematic way. Interestingly, we find the first examples of stable
de Sitter solutions within a theory with such a large amount of supersymmetry.
