Hebrews 8:6

But, as a matter of fact, the ministry which Christ has obtained is all the nobler a ministry, in that He is at the same time the negotiator of a sublimer covenant, based upon sublimer promises.

Hebrews 7:22

so much the more also is the Covenant of which Jesus has become the guarantor, a better covenant.

Hebrews 12:24

and to Jesus the negotiator of a new Covenant, and to the sprinkled blood which speaks in more gracious tones than that of Abel.

2 Corinthians 3:6-11

It is He also who has made us competent to serve Him in connexion with a new Covenant, which is not a written code but a Spirit; for the written code inflicts death, but the Spirit gives Life.

Luke 22:20

He gave them the cup in like manner, when the meal was over. "This cup," He said, "is the new Covenant ratified by my blood which is to be poured out on your behalf.

Romans 9:4

To them belongs recognition as God's sons, and they have His glorious Presence and the Covenants, and the giving of the Law, and the Temple service, and the ancient Promises.

Galatians 3:16-21

(Now the promises were given to Abraham and to his seed. God did not say 'and to seeds,' as if speaking of many, but 'and to your seed,' since He spoke of only one--and this is Christ.)

Titus 1:2

in hope of the Life of the Ages which God, who is never false to His word, promised before the commencement of the Ages.

Hebrews 8:7-13

For if that first Covenant had been free from imperfection, there would have been no attempt to introduce another.

Hebrews 9:15-20

And because of this He is the negotiator of a new Covenant, in order that, since a life has been given in atonement for the offences committed under the first Covenant, those who have been called may receive the eternal inheritance which has been promised to them.

2 Peter 1:4

It is by means of these that He has granted us His precious and wondrous promises, in order that through them you may, one and all, become sharers in the very nature of God, having completely escaped the corruption which exists in the world through earthly cravings.

Treasury of Scripture Knowledge

Summary

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.

Bible References

Obtained

Hebrews 8:7
For if that first Covenant had been free from imperfection, there would have been no attempt to introduce another.
2 Corinthians 3:6
It is He also who has made us competent to serve Him in connexion with a new Covenant, which is not a written code but a Spirit; for the written code inflicts death, but the Spirit gives Life.

Covenant

Hebrews 7:22
so much the more also is the Covenant of which Jesus has become the guarantor, a better covenant.
Hebrews 9:15
And because of this He is the negotiator of a new Covenant, in order that, since a life has been given in atonement for the offences committed under the first Covenant, those who have been called may receive the eternal inheritance which has been promised to them.

Upon

Hebrews 8:10
But this is the Covenant that I will covenant with the house of Israel after those days,' says the Lord: I will put My laws into their minds and will write them upon their hearts. And I will indeed be their God and they shall be My People.
Romans 9:4
To them belongs recognition as God's sons, and they have His glorious Presence and the Covenants, and the giving of the Law, and the Temple service, and the ancient Promises.
Galatians 3:16
(Now the promises were given to Abraham and to his seed. God did not say 'and to seeds,' as if speaking of many, but 'and to your seed,' since He spoke of only one--and this is Christ.)
Titus 1:2
in hope of the Life of the Ages which God, who is never false to His word, promised before the commencement of the Ages.
2 Peter 1:4
It is by means of these that He has granted us His precious and wondrous promises, in order that through them you may, one and all, become sharers in the very nature of God, having completely escaped the corruption which exists in the world through earthly cravings.