The High Priest of a New Covenant

Hebrews 8
The High Priest of a New Covenant
1The point of what we are saying is this: We do have such a high priest, who sat down at the right hand of the throne of the Majesty in heaven, 2and who serves in the sanctuary, the true tabernacle set up by the Lord, not by man.
3Every high priest is appointed to offer both gifts and sacrifices, and so it was necessary for this one also to have something to offer. 4If he were on earth, he would not be a priest, for there are already men who offer the gifts prescribed by the law. 5They serve at a sanctuary that is a copy and shadow of what is in heaven. This is why Moses was warned when he was about to build the tabernacle: "See to it that you make everything according to the pattern shown you on the mountain."[a] 6But the ministry Jesus has received is as superior to theirs as the covenant of which he is mediator is superior to the old one, and it is founded on better promises.
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The New Covenant is superior to the Old Covenant and Jesus is the mediator of it. Where under the Old Covenant there were many mediators between God and his covenant people, under the New Covenant there is one mediator - Christ our high priest.
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The Blood of Christ
11When Christ came as high priest of the good things that are already here, he went through the greater and more perfect tabernacle that is not man-made, that is to say, not a part of this creation. 12He did not enter by means of the blood of goats and calves; but he entered the Most Holy Place once for all by his own blood, having obtained eternal redemption. 13The blood of goats and bulls and the ashes of a heifer sprinkled on those who are ceremonially unclean sanctify them so that they are outwardly clean. 14How much more, then, will the blood of Christ, who through the eternal Spirit offered himself unblemished to God, cleanse our consciences from acts that lead to death,[c] so that we may serve the living God!
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How much more will the blood of Christ, who through the eternal Spirit offered himself unblemished to God, cleanse our consciences from acts that lead to death, dead works, useless rituals and the like so that we may serve the living God!

We no longer need sacrifices for our atonement. Christ’s sacrifice is enough.
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15For this reason Christ is the mediator of a new covenant, that those who are called may receive the promised eternal inheritance—now that he has died as a ransom to set them free from the sins committed under the first covenant.
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Christ is the mediator of the new covenant. It is through Christ alone our eternal inheritance is obtained.

Also because of the blood of the covenant the church mirrors him

1 John 4:17In this way, love is made complete among us so that we will have confidence on the day of judgment, because in this world we are like him.
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Because we are like him, as he is a priest we are priests
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1 Peter 2:9But you are a chosen people, a royal priesthood, a holy nation, a people belonging to God, that you may declare the praises of him who called you out of darkness into his wonderful light.
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Hebrews 12:22-24 (New International Version)
22We have come to Mount Zion, to the heavenly Jerusalem, the city of the living God. You have come to thousands upon thousands of angels in joyful assembly, 23to the church of the firstborn, whose names are written in heaven. We have come to God, the judge of all men, to the spirits of righteous men made perfect, 24to Jesus the mediator of a new covenant, and to the sprinkled blood that speaks a better word than the blood of Abel