New Testament Apostles and Prophets are the "foundation gifts" (Eph. 2:20). Not all the New Testament writers were apostles, and yet some of their words and writings were just as much inspired as the apostles' writings. These speakers and writers were called prophets. This gift was not limited to writing, because much of what they spoke by inspiration was not written down (1 Cor. 2:13). They were prophets in the sense of:  forth-telling the revealed mind of God (like Judas and Silas; Acts 15:32),  foretelling the future (like Agabus; Acts 11:28; 21:10), or  receiving divine inspiration (like Mark, James, etc.) to pass on orally or in written form (Romans 16:25-26). We don’t have New Testament apostles & prophets with us in person, but we do have their writings. The reason we don’t have them in person is that they were the foundation (Eph. 2:20), which is already complete. Thankfully, what God saw fit to give us was written down and canonized, so we have these gifts with us "till we all come" (at the rapture).
Related: Spiritual Gifts
New Testament Apostles and Prophets.
Prophetic Scriptures. In Romans 16:25-26 we read that “the mystery” (a New Testament revelation) has been made manifest by prophetic scriptures. It is clear that “prophetic scriptures” could not be Old Testament prophetic scriptures because Paul had just said that silence had been kept in past ages! This is another proof that New Testament writings are referred to as prophetic by the Holy Spirit. Some of these writings were already in existence at the time Romans was written (e.g. 1 Corinthians), and some of them followed after, such as Ephesians and Colossians.