Below an extract of the Table of Peutinger (chain of the Pyrénées). Indeed, the table is not a "map" to the sense where we hear it today. It is a drawing of routes established on a narrow parchment. 

One notices, though, that these routes are broken lines. For example, to go from Narbonne to Carcassonne , then in Toulouse , the broken line turns always to the right. I risk an explanation. maybe it is to signal that one must go to the inside of the grounds?

Now, passed "our" Summum Pyreneum, one finds the "mutatio" of DECIANA then of IUNCARIA. 

The first is close to the coast and one must turn off to the inside to go to the second. And when one knows that some Catalan authors put Deciana to Llança and Iuncaria to Cabanes (N. E. of Figueres), this is here that the collars of the Massane and of Banyuls become candidates for the appellation of "Summo Pyreneo". To which case one would have arrived there by TATZO? ... 

But, before being Chief Executive of Argelès-sur-mer, I have been the Secretary of Town Hall of Le Perthus both of L’Ecluse (one had not yet corrected in "Les Cluses"), and even, for some months, of Las Illas, today merged with Maureillas (Ad Centuriones?). I will avoid therefore well denying that the Via Domitia did not pass also by the Collars of Panissars and of the Perthus. With another "Summum Pyreneum" at the “Fort  - castle - de Bellegarde”? ... 

Has maybe the original of the Table of Peutinger been outlined before this second route has been recognized by Rome as the main road?