The act of fleeing from a crime or evading the police.
"After robbing the liquor store and having his tires blown by the police during the high speed chase, the coon ditched and went on a 5 minute nigger run through the brush before police finally caught him."
The act of going down to the ghetto, grabbing a couple of niggers, putting them into one's trunk, and driving to Alabama to sell them to some redneck pig fuckers for use as forced labor on their cotton farms
Shit, man, I'm out of crack money. Looks like I'm going to have to go on another nigger run.