I have not looked to see how large the front element of the lens is, however the thickness of the filter may be the major contributing factor here. You might want to see if it comes in a thin or slim style. I picked up a filter for my 12-24 and did get a thin mount a number of years ago, just so that I would not have this problem (and did not encounter this).
The wider angle lenses - especially the wider the more prevalent the problem, although you would not expect this with the size of the hood that comes with these lenses.
Looking more at your images, I am wondering why there is heavier vignetting on the left side, with somewhat minor vignetting on the right. I would expect that the vignetting should be somewhat more uniform and evenly distributed. That may be an insight into why.
just an idea....