What is new about the new covenant is that the entire covenant story must now be seen in Christ.
The union with God forseen in Jeremiah 31:31-34 is union with Christ.
The people of God are the community of which Christ is the head.
The law written upon the heart is the law of Christ.
The knowledge of God is communion with Christ.
The forgiveness of sins is the costly forgiveness won by Christ.
Once Jesus takes the cup and says to his disciples, “This cup is the new covenant in my blood, which is poured out for you,” (Luke 22:21), it is impossible to imagine God’s covenant relationship with his people without Jesus Christ at its center.
~ Michael D. Williams in Far As The Curse Is Found: The Covenant Story of Redemption, pp. 221-222.