The Catholic Church has infallibly defined the interpretation
of Matthew 16.
The Council of Ephesus, 431 AD
 
"No one doubts, in fact, it is obvious to
all ages that the holy and most Blessed
Peter, head and Prince of the Apostles,
the pillar of faith, and the foundation
of the Catholic Church, received the
keys of the kingdom from our Lord Jesus
Christ, the savior and redeemer of the
human race."
peter2
When there is error or misunderstanding, the teaching authority
of the Church is appealed.