To slightly elaborate on the above posts, from the west side of the Denver area to Vail, there are a number of places where you'll find 5% and 6% grades, often for many miles at a crack. From Denver east and from Vail west the road is much more normal. Most of that area is above 6,000 feet, and much of it is above 9,000 feet. The Eisenhower tunnel is, indeed, a little over 11,000 feet, and Vail Pass peaks at over 10,000 feet. Note that with non-turbocharged engines (most gassers), you'll lose quite a bit of power at these higher altitudes.
The I-80 route mentioned above is, if feasible for you, less in both altitude and in steep grades. On either of the routes you'll want to carefully check weather and road conditions before using the respective routes (especially this time of year and later), since snow, rock slides, winds, and other things can make road conditions bad, or even close some road sections, at most any time of year. Both Colorado (I-70) and Wyoming (I-80) have very good web sites for checking road conditions, and there are even telephone numbers for that (*511 from a cell phone in Colorado -- not sure about Wyoming). There are also other numbers (available on the web site) for calling from out of state.