var buildConfigId = this.Url.RequestContext.RouteData.Values["id"] as string ?? "bt1";
      var client = new TeamCityClient("http://your team city server");
      
      // Connect with Guest Authentication
      client.Connect(string.Empty, string.Empty, true);
      var config = client.BuildConfigByConfigurationId(buildConfigId);

      foreach (Build build in client.SuccessfulBuildsByBuildConfigId(buildConfigId).Take(5))
      {
        var artifacts = client.ArtifactsByBuildConfigIdAndBuildNumber(buildConfigId, build.Number);
        ...
      }