The ultimate Biblical meaning of the phrase 'eye for an eye' is straightforward. God will repay those who do wrong using the same principle of fairness expressed in
his law(Matthew 7:2, Luke 6:38, Colossians 3:25, etc.). Governments, if they want to administer fair and just punishment, should also follow God's laws. In our daily, personal lives however we should not seek vengeance or seek to repay someone in the same way or magnitude they harmed us. As believers and children of God we are instructed to forgive and to follow the advice Paul wrote at the very end of Romans 12 to overcome evil with good (Romans 12:21). This verse an "eye for eye, tooth for tooth, hand for hand, foot for foot" Exodus 21 vs 24 (please always quote where you got the statement from). Jesus (my God and Saviour) said in Matthew 5 vs 38-44
38 Ye have heard that it hath been said, An eye for an eye, and a tooth for a tooth:
39 But I say unto you, That ye resist not evil: but whosoever shall smite thee on thy right cheek, turn to him the other also.
40 And if any man will sue thee at the law, and take away thy coat, let him have thy cloak also.
41 And whosoever shall compel thee to go a mile, go with him twain.
42 Give to him that asketh thee, and from him that would borrow of thee turn not thou away.
43 Ye have heard that it hath been said, Thou shalt love thy neighbour, and hate thine enemy.
44 But I say unto you, Love your enemies, bless them that curse you, do good to them that hate you, and pray for them which despitefully use you, and persecute you;
This long quotation debunks any other reasoning, as my Lord and Saviour Jesus gave us His answer as evidenced in the above scriptural verse.
Also, some people might mean this verse promotes violence, that we should retaliate when faced with violence. However, I do not think it does because the Bible said in Matthew 22 vs 21 "They say unto him, Caesar's. Then saith he unto them, Render therefore unto Caesar the things which are Caesar's; and unto God the things that are God's" This verse supports the notion that we as Christians should follow the law of the land. In the UK and the rest of the World, being violent is not following the law of the land, so we as Christians are not meant to be violent but peaceful
Judging by your TSR name I know your ultimate aim.