You forgot Hebrews 8:10 also included in the new covenant:
2 Corinthians 3:2-3 "Ye are our epistle written in our hearts, known and read of all men: Forasmuch as ye are manifestly declared to be the epistle of Christ ministered by us, written not with ink, but with the Spirit of the living God;
not in tables of stone, but in fleshy tables of the heart." Clearly doing a parallel of the tables of stone (10 commandments) being moved to the heart.
In verse 3, Paul uses the metaphor of a letter of commendation (verses 1 and 2) to lead into a discussion comparing the Old and New Covenants. When
God made the Old Covenant with ancient Israel,
Moses wrote the commandments, statutes, and judgments that God had given to him in a book with "ink" (
Exodus 24:4). God wrote the Ten Commandments with His own finger on two tablets of stone (
Exodus 31:18;
32:15-16). However, Paul points out, under the New Covenant, God has given us His Spirit, enabling us to keep His laws in their spiritual intent. He is now writing His Ten Commandments on our hearts (
Hebrews 8:10)!
Hebrews 8:10 "For this is the covenant that I will make with the house of Israel after those days, saith the Lord;
I will put my laws into their mind, and write them in their hearts: and I will be to them a God, and they shall be to me a people:" he is quoting Jeremiah's prophecy.