We have examined 426 {it Voyager} fields distributed across the sky for ion{O}{6} ($lambda lambda$ 1032/1038 AA) emission from the Galactic diffuse interstellar medium. No such emission was detected in any of our observed fields. Our most constraining limit was a 90% confidence upper limit of 2600 phunit on the doublet emission in the direction (l, b) = (117fdegree3, 50fdegree6). Combining this with an absorption line measurement in nearly the same direction allows us to place an upper limit of 0.01 cm$^{-3}$ on the electron density of the hot gas in this direction. We have placed 90% confidence upper limits of less than or equal to 10,000 phunit on the ion{O}{6} emission in 16 of our 426 observations.
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