Use the BRICK (Kol Battleship TEC) for that one.
No, Seleuceia was talking about going over, not through.
Indeed, using capital ships to plough through mines is very viable. You want to move just close enough to detonate one mine. This will cause your shield mitigation to max out. Now go romping through the rest of the mines with your 70% or so damage reduction from mitigation. Use something like the Kol that has defensive abilities, and you can clear mines very quickly in this fashion.
What Seleuceia is talking about is literally moving above the minefield. The minefield exists in 2D, but your ships can move in 3D, so avoiding them is actually trivial. Most people consider this cheating, though, since it makes mines absolutely worthless.
