Hi Helena,
I just grabbed some needles and yarn and got almost the same result as Annette described so nicely:
Row 1: knit all stitches
Row 2: purl all stitches
Row 3: knit 2, * knit 2 together, slip 1 stitch, knit 1, and pass the slipped stitch over the knit stitch, knit 4 *, repeat the section between the asterisks to the end of the row
Row 4: purl all stitches
Row 5: knit 2, * insert the needle 2 rows below, exactly between “knit 2 together” and “slip 1 stitch, knit 1, and pass the slipped stitch over the knit stitch” – knit a stitch through the gap – just knit normally through that hole (the stitch becomes longer because it is pulled up over 2 rows), then knit 2 stitches and do the same again into the hole where you already pulled up the first long stitch, knit 4, repeat from * to the end of the row
Row 6: purl all stitches
Rows 7–10: same as rows 3–6, just offset by 4 stitches

I used a very soft yarn (alpaca) for the pattern, which is why the holes are not so pronounced.
Don’t make it more complicated than it is — just follow the instructions above stitch by stitch. I’m sure you’ll get the same result.