How much time through Uzbekistan?

[Lovetheworld]

I'm wondering about Uzbekistan, we are not sure if we will go down south that much, but it is of course a very interesting country.
If we decide to go there, then it will be limited in terms of time that we can spend there.

Looking at road conditions, there are of course very bad parts (no surprise) but it seems a lot of roads are pretty good and allow for travelling 80km/h or more.
We drive a car by the way.

Having travelled through the desert roads of Iran and Pakistan, I'm comparing it too that (including some of the heat and bad road quality)

Coming from Moscow / Kazakhstan, entering in the West and exiting perhaps near Tashkent, it is only a 1500km drive. And there the interesting cities are "nice distances" apart from each other, each part doable in one day it seems.

So is a drive from the Western border and going over Nukus / Khiva / Buchara / Samarkand / Tashkent and visiting those cities, should be doable in 1 week or perhaps 10 days?
I'm thinking with 10 days there is enough time to take some breaks and not only be sightseeing and driving. But maybe it is not enough.

This is excluding anything that we do onwards from Tashkent, because I'm not sure about the route yet.

By the way, I completely understand that there is much more to see in the country, and that you could spend a month there.