The New Testament does not explicitly state that Jesus chose any of his disciples to be "priests" in the way we understand the term today. The concept of priesthood in Christianity evolved after Jesus's ascension.
However, traditionally, Peter is considered to have a special role among the apostles. Some denominations, like the Catholic Church, view Peter as the first Pope and the leader of the early Church, thus implicitly considering him the first in a line of leaders who eventually developed into the priesthood.
So, while the answer isn't straightforward, Peter is the closest we can get to answering your question, based on interpretations of scripture and tradition.