Oh, don't get me wrong - I love Star Trek: TNG. It's fantastic television. But it doesn't work in literature. Most sf literature that aims to replicate the Star Trekian style of plot and character comes off as very silly and superficial. You're reading it, and you're thinking, "This feels too much like television." On television, it's the actors, and the music, and the directing, and the special effects that all help create that awesome epic Star Trek feeling. On the page, the sf author doesn't have recourse to any of those things, and must go deeper. (It's the same reason movie-type dialogue doesn't work in theatre - theatre needs to have more complex dialogue and characterization than film, because it doesn't have all of film's other advantages.)
In any case, I also said "adolescent," meaning that I often felt that Brin's writing was a more adolescent version of the more mature writing on TNG. Same style, but not as interesting.