Hebrews 8:6:

But now hath he obtained a more excellent ministry, by how much also he is the mediator of a better covenant, which was established upon better promises.

See also:

Forgiven People Can Be Healed
Who You Are and What You Have
Job Explained
Healing and the Holy Spirit
To What Extent Can We Claim Old Testament Healing Promises?
Objection: Long Life Is Not a New Testament Blessing
Objection: God’s Healing Covenant in the Law of Moses Was Only for the Jews
Objection: The New Testament Emphasizes Spiritual Blessings, Not Material Blessings
Condition: Boils
Notes on Exodus 15:25-26
Notes on Deuteronomy 34:7
Notes on Joshua 14:10-12