Matthew Poole and continuators on Hebrews 13:12

12 Wherefore Jesus also, that he might sanctifie the people with his own blood, suffered without the gate.

Because that Sacrifice for Sin was burnt without the Camp, therefore Jesus to fulfil the Type, suffered without the Gate: and as they might not eat of that Expiatory Sacrifice, so neither of this. Jesus, therefore, to fulfil this Type, suffered without the Gates of Ierusalem upon Mount Calvary, where Sculls and Bones of cursed Creatures were scattered. As the Expiatory Sacrifices were burnt without the Camp, when Israel was tabernacling within it; without the Gates, when Israel dwelt in Cities. As the High-Priest carried the Expiatory Blood into the Holiest of all, on the Day of Atonement; so Christ with his own Blood entred the Holiest in Heaven, and by it obtained Pardon of Sin, Peace of Conscience, and renewing by the Holy Ghost, for all People who repent, believe, and will come unto God by him. Therefore those who will still judaize; have no right to eat of his Sacrifice, no more than of the Expiatory one, which was wholly burnt; so that they were not to be justified by Meats and Ceremonies, but by the Blood of Christ alone, the Truth of all the Sacrifices. Rom. 3.25. and 5.9. Iohn 1.29.

Marginal references: John 19.17.