10 We have an altar from which those who serve the tabernacle have no right to eat.
11 For the bodies of those animals, whose blood is brought into the sanctuary by the high priest for sin, are burned outside the camp.
12 Therefore Jesus also, that He might sanctify the people with His own blood, suffered outside the gate.
13 Therefore let us go forth to Him, outside the camp, bearing His reproach.
14 For here we have no continuing city, but we seek the one to come.
15 Therefore by Him let us continually offer the sacrifice of praise to God, that is, the fruit of our lips, giving thanks to His name.
16 But do not forget to do good and to share, for with such sacrifices God is well pleased.
we (v.10) — Jews
who serve (v.10) — priests
right (v.10) = legal right, authority
Those who still worship according to the old covenant could not worship according to the new.
outside the camp (v.11) — the place of the offering (Leviticus 16:27)
All that was outside the camp was ceremonially unclean. Yet the Jews had delivered Christ into the hands of unclean Gentiles. To obtain salvation was therefore impossible inside the camp of Judaism. The works of the Jewish economy of ritual and ceremonial ordinances must be abandoned. It was necessary to go outside the gate to the place where alone the needs of the soul had been met by God. Hope lay not in national privilege or any exclusive Jewish position. The reproach of Christ, an indignity in the eyes of a Jew and a degradation in the eyes of a Gentile, was the only possible means of acceptance wiht God. — Hebrews, by W.E. Vine, page 327.
therefore (v.12) — to fulfill the type
no continiuing city (v.14) — Jerusalem as the representation of the old covenant — and it was about to be destroyed
share (v.16) — as in Acts 2