The NBA record for futility belongs to the 1972-73 Philadelphia 76ers who finished that season 9-73. They began the season with 15 straight losses, and also recorded losing streaks of 20, 14, and finally 13 to end the season.
The Raptors, out of the gate 0-4 and looking dreadful, are a serious threat to set a new standard for futility in the NBA. Divert your eyes kids, this is gonna get ugly.