Which gospel shows that Jesus shared many human weaknesses?

No gospel reveals any weakness on Jesus' part. On the contrary, it shows His power and authority over human weaknesses.

Certainly Jesus was human and like us He too faced trials, but remained sinless. Jesus was tempted as a man, just as we are. However, Jesus saw "beyond" The Temptations and understood these were to really test God's sovereignty and plans, which is and always has been satan's purpose. In Matt 4:1-11 Jesus is tempted by the devil - Jesus after fasting for 40 days is hungry so satan moves in and tempts Him to turn stones into food, however Jesus rebukes satan. He sees the true purpose behind this trial.

No human likes to suffer pain, and the night before Jesus was to be crucified (Matt:26:39) Jesus prays to God - "O my Father, if it is possible, let this cup of suffering, pass from Me, nevertheless, not My will, but Yours be done". I believe the Words "not My will" are the key ones here, Jesus always worked in line with His Father's will and was obedient to His Father, therefore denying any weakness in His humanity. After all He was God's Son, and as God's Son we would expect Him to be righteous in every way.

As a human being Jesus could have given in, succumbed to the human weakness to be spared of pain and suffering, but here again Jesus "sees beyond" His need and seeks to do God's Will - He sees the greater picture, He knows the agony ahead, but He sees the joy of salvation for untold billions of humans down the centuries.

Yes, Jesus was human yet He bore no weaknesses, tested with trials like us, yet never once failed. He was both human and divine.

Jesus overcame the world and that is the victory.