The Hornets lost their 10th consecutive game while the Spurs were snapping a two-game skid and improving their home record to 9-2.
New Orleans was within four points as the game entered its final 6 minutes, but Parker hit a layup that started a clutch 9-4 run. Boris Diaw finished off the burst with a 3-pointer that gave San Antonio a 93-84 lead with 3:53 to play.
Anthony Davis scored 18 points in leading New Orleans, which trailed by 12 at the half and by 11 heading into the fourth period.
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