Those are long hours, so if you add commute time you are probably away from home even longer, maybe 14 hours or more?
Sometimes it helps to have two dogs so that they can play and keep each other company while you are away. The best thing you can do, however, is provide your dog or dogs with human activity on the days that you work. (I know this is hard for a lot of people, but since you are only at work three days a week I hope you can afford it.)
If you can send your dog to daycare, you can get one or several dogs, and even a younger dog if that is what you are looking for. Lazy/slacker type dogs are best, (like those on this list), so unless you are especially active on your days off the working breeds are not a good choice.
I hope you find a great companion. Please consider a senior! Nurses make exceptional caretakers.