From the article, the author gives his definition of "dynasty" as when the Elo rating stays above 1500.
The longest streak of above-average play belongs to the San Antonio Spurs. Their Elo rating rose above 1500 on Jan. 3, 1998, and hasn’t fallen below it since, a period that covers more than 17 years, or 1,644 games and counting. That’s impressive even compared to the Celtics, who had an above-average Elo rating from March 14, 1956 to Nov. 12, 1969. Insanely great — 13.5 years and 1,198 games — but not as great as the Spurs.

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