not like the covenant that I made with their fathers on the day when I took them by the hand to bring them out of the land of Egypt. For they did not continue in my covenant, and so I showed no concern for them, declares the Lord.
9. Not according to the covenant, etc. Here is expressed the difference between the covenant which then existed and the new one which he caused them to expect. The Prophet might have otherwise said only: “I will renew the covenant which through your fault has come to nothing;” but he now expressly declares that it would be one unlike the former.
In this part of the chapter, the apostle illustrates and confirms the superior excellency of the priesthood of Christ above that of Aaron, from the excellency of that covenant, or that dispensation of the covenant of grace, of which Christ was the Mediator (Heb 8:6): his ministry is more excellent, by how much he is the Mediator of a better covenant.
Commenting on Hebrews 8:6-13
Not according to the covenant that I made with their fathers,.... The ancestors of the Jews at Mount Sinai: in the day when I took then, by the hand to lead them out of the land of Egypt; which is mentioned, not only to observe the time when the former covenant was made with the Israelites, which was just upon their deliverance out of Egypt...