Did St. Luke the Evangelist die a martyr’s death?

How did he die?

Feast of St. Luke, evangelist, who, according to tradition, was born in Antioch to a pagan family and a doctor by profession, converted to faith in Christ. Having become a dear companion of St. Paul the Apostle, he carefully arranged all the works and teachings of Jesus in the Gospel, becoming a scribe of Christ’s meekness, and narrated in the Acts of the Apostles the beginnings of the life of the Church until Paul’s first stay at Rome.

He lived 84 years and was never married. His body lies at Constantinople, whither it was translated from Achaia, together with the relics of St. Andrew the apostle in the 20th year of Constantine.

Epiphanius has it that he preached in Dalmatia (where there is a tradition to that effect), Gallia (Galatia?), Italy, and Macedonia. As an Evangelist, he must have suffered much for the Faith, but it is controverted whether he actually died a martyr's death.