After Ricci was decided, a black firefighter sued the city over the test [1]. His theory was that weighting promotions via 60% objective written test/40% subjective oral test was racist since it had a disparate impact on blacks. He lost.
http://www.nhregister.com/articles/2010/04/22/news/aa3_nebri...
[1] I believe he lacked standing before the supreme court decision, since he suffered no harm.