I checked the BLB lexicon for a deeper understanding of the word choice (Oκιά / shade). Seeking Peter's shadow* is like a prayer for healing and the comfort of knowing he is near - as the previous posters noted.
Shade also had additional meanings, as it still does in modern English. Strong's Number G4639 matches the Greek σκιά (skia) and occurs 7 times in 7 verses in the TR Greek. In each of those 7 examples, shadow references a specific noun. In the scripture that agarza offers us, it specifies Peter - the Rock upon which the Gospel is built (rather than Simon, which is "heard / listened"). The Shadow of Peter represents adumbration of healing and the immortality of their faith.
By verse 16, Crowds gathered also from the towns around Jerusalem, bringing their sick and those tormented by impure spirits, and all of them were healed, indicating that divine healings did occur.
Jesus healed many people using a variety of approaches. agaza presents the example, Jesus said, ‘Someone touched me; for I noticed that power had gone out from me.’ When the woman saw that she could not remain hidden, she came trembling; and falling down before him, she declared in the presence of all the people why she had touched him, and how she had been immediately healed. He said to her, ‘Daughter, your faith has made you well; go in peace.’
Humanity misunderstands, thinking that individuals, rituals, objects, recitations, adherence to laws, etc. have divine magic. The temple veil tore at the moment of Death inviting each of us to approach God's throne - no middleman needed. Healing Faith, like the Kingdom of Heaven, is nurtured within each of us. Peter's shadow is merely foreshadowing this sketchy outline of the personal faith available to each of us. Science has identified this superpower in each of us.
*σκιά is apparently a primary word translated as shade or a shadow which literally or figuratively refers to a shadow, adumbration, or darkness of error.