[John 8:2-16] ...,"He who is without sin among you, let him throw a stone first."
THROWING STONES: CONDEMNING OTHERS
So many times we find people condemning others. We have the church condemning the world because of what we see and because the world is looking at the church, we find the church being condemned by the world because the church isn't what it should be.
Jesus in this instance was teaching that no man has the power and or the authority to condemn another man because all of mankind have sinned. The scribes and the Pharisees wanted to condemn the woman caught in adultery by enforcing the "law" and really wanted Jesus to do the same, but what Jesus did was enforce righteousness. The scribes and Pharisees had become judgemental(according to the law). Jesus Himself judged the lady, but He did so according to righteousness and not according to the law; "...,go and sin no more." [John 8:11]
Going back to John 7:24, Jesus told the the people, "...Do not judge according to appearance, but judge with righteous judgement." And this is what Jesus demonstrated in His dealing with this woman, "righteous judgment", judging through the eyes and heart of righteousness.
[John 8:12] Then Jesus spoke to them again, saying, "I am the light of the world. He who follows Me shall not walk in darkness, but have the light of life."
Ministering should be done out of a heart of love. Ministry should bring life. And what Jesus is saying in this Scripture is that, it would have been sin for Him to condemn(throw stones) at this women, which would have caused Him to walk in darkness. So many times those who follow Christ walk in darkness because of their condemnation of those who are in the world, when the church should be shinning the light of life(reconciliation) on them[2 Cor. 5:20]. Christ Himself in John 3:17 said, "...For God did not send His Son into the world to condemn(throw stones) the world, but that the world through Him might be saved."
Jesus came to save. Jesus came to give life. This is why we the "follower's of Christ", the "ambassadors for Christ" are here in the world. Have the "light of life" and use "righteous judgement" in your dealings with those who are in the world and watch them be saved.