Bearing in mind no-one was able to crack mine, here's the answer.
In 1987 Williams won six consecutive races, and in 1990 McLaren got thirteen consecutive podia.
These two years shared a rather unconventional record - the most times the red flag was used during a season. The red was shown five times during each. 1987 included the Austrian GP that took three attempts to start, and in 1990 the Belgian GP also got stopped twice on lap 1.