We still use douzaines for eggs, oysters, snails and a few other delicacies but for "a moderate number of times", while une douzaine is certainly idiomatic too, my impression is une dizaine prevails.

Google Ngram shows the metric system in action:

We still use douzaines for eggs, oysters, snails and a few other delicacies but for "a moderate number of times", while une douzaine is certainly idiomatic too, my impression is une dizaine prevails.

Google Ngram shows the metric system in action: