Note 142
From Chapter 17 of the Decline & Fall

Barbaros omnium primus, ad usque fasces auxerat et trabeas consulares. Ammian. l. xxi. c. 10. Eusebius (in Vit. Constantin. 1. iv. c. 7)

and Aurelius Victor seem to confirm the truth of this assertion; yet in the thirty-two consular Fasti of the reign of Constantine I cannot discover the name of a single barbarian. I should therefore interpret the liberality of that prince as relative to the ornaments, rather than to the office, of the consulship.