There are many in the area.
5.9 miles: "Rochester Mills" - 400 Water Street, Rochester, MI
29 miles: "Dragonmead" - 14600 East 11 Mile Road Warren, MI
22.1 miles: Kuhnhenn Brewing Co LLC, 5919 Chicago Road, Warren, MI
16.8 miles: Black Lotus Brewing Co, East 14 Mile Road, Clawson, MI
There are many more if you like the drive (I just wont list all their addresses). There's Atwater Beer, Motor City Brewing, Detroit Beer Co, Royal Oak Brewing, Bastone, Lily's Seafood, Traffic Jam, Woodward Avenue Brewers, and many more.
My favorite places are Kuhnhenn's, Atwater, and Motor City. Kuhnhenn's doesn't have the fastest serve staff, but their tap list is awesome. I frequent the breweries in Royal Oak and Ferndale since they are right by my house.
Rochester Mills will be the closest for you, and their brews arn't bad at all. Last time I was there, I absolutely loved their Black IPA. Usually, I stick to one of their Wheats (Can't remember the name of it for the life of me)
Dragonmead is also amazing, though I have yet to visit. You'll find their brews on tap at many bars, or in bottles at beer stores). Their infamous Trippel is "Final Absolution".
Black Lotus usually doesn't meet my expectations, but now and then they come out with some phenominal beers.