Golden State is eliminated from first place.

To show that Golden State is eliminated from first place, we start with the current conference standings:
            Team	W	L	GL	PCT	GB
   Oklahoma City	55	15	12	0.786	0.0
     San Antonio	51	18	13	0.739	3.5
       LA Lakers	44	25	13	0.638	10.5
       Minnesota	43	27	12	0.614	12.0
         Houston	41	27	14	0.603	13.0
          Denver	42	28	12	0.600	13.0
         Phoenix	39	30	13	0.565	15.5
     LA Clippers	34	35	13	0.493	20.5
        Portland	34	36	12	0.486	21.0
    Golden State	33	36	13	0.478	21.5
         Memphis	24	44	14	0.353	30.0
     New Orleans	24	46	12	0.343	31.0
          Dallas	23	47	12	0.329	32.0
            Utah	20	49	13	0.290	34.5
      Sacramento	18	52	12	0.257	37.0
           Total	525	515	190

Golden State can finish the season with at most 33 + 13 = 46 wins and will finish the season behind the following teams:
Oklahoma City has already won 55 games.
San Antonio has already won 51 games.