Contradiction with Jeremiah 31:33
Hebrews 10:16 quotes Jeremiah 31:33, but unlike Jeremiah, it centers on the fulfillment of the new covenant in Christ rather than the promise.
Jeremiah 31:33: But this [shall be] the covenant that I will make with the house of Israel; After those days, saith the LORD, I will put my law in their inward parts, and write it in their hearts; and will be their God, and they shall be my people.
Contradiction with Exodus 24:12
This verse emphasizes the law given on tablets, whereas Hebrews 10:16 speaks of the law written on hearts, indicating an internal rather than external law.
Exodus 24:12: And the LORD said unto Moses, Come up to me into the mount, and be there: and I will give thee tables of stone, and a law, and commandments which I have written; that thou mayest teach them.
Contradiction with 2 Corinthians 3:3
Hebrews 10:16 suggests God's laws are written in hearts by the Holy Spirit, whereas this verse refers to a different metaphor of people being epistles written by the Spirit.
2 Corinthians 3:3: [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.
Contradiction with Colossians 2:14
This verse mentions the blotting out of the handwriting of ordinances, contrasting with Hebrews 10:16, which indicates an internal writing of God's laws in hearts.
Colossians 2:14: Blotting out the handwriting of ordinances that was against us, which was contrary to us, and took it out of the way, nailing it to his cross;
Contradiction with Romans 7:6
This verse discusses being delivered from the law to serve in newness of spirit, unlike Hebrews 10:16, which promotes the internalization of God's laws.
Romans 7:6: But now we are delivered from the law, that being dead wherein we were held; that we should serve in newness of spirit, and not [in] the oldness of the letter. [that being...: or, being dead to that]