Wheeler Peak (13,060'), in Great Basin National Park, is in some sense the highest mountain in Nevada. Although Boundary Peak is the highest point in Nevada, it’s on the shoulder of a mountain whose peak is taller (and in CA - Montgomery Peak). So Wheeler is the the highest mountain in Nevada (or highest independent mountain, if you'd like). The trail to the top gains about 3000' in 4 miles.
The ascent has a Strava segment.