'morality consisting in good behaviour', 

relates to the external duties of a monk such as towards his superior, etc. 

"abhisamācārika-sīla is a name for those moral rules other than the 8 ending with right livelihood (i.e. 4-fold right speech, 3-fold right action and right livelihood, as in the Eightfold Path) (Vis.M. I; s. sacca IV, 3-5). 

"Impossible is it, o monks, that without having fulfilled the law of good behaviour, a monk could fulfil the law of genuine pure conduct" (A.V.21). 

Cf. Ādibrahmacariyakasīla.