Take a look at what Pinterest has, lots of ideas:
Hi Anita, this is Peggy. Hope this information helps you get your basket weave back splash from your subway tiles. Good luck with your project. Basket Weave Backsplash | Houzz
Find ideas and inspiration for Basket Weave Backsplash to add to your own home. ... A panoramic mantel hood soars over the stainless steel range creating a stunning ... zinc hood over a basketweave and subway tile stove backsplash.
This site has some of your more unusual basket weave designs and at least one is just a kitchen back splash:
Hello. The link below might be useful regarding your basket weave tile question. Hope this helps
How to Install Basket-Weave Ceramic Tiles | Home Guides | SF Gate
Regular subway tiles won't give you the basket weave look. You need to buy basket weave subway tiles.
You need basketweave tiles to get that look, but the herringbone patterns would be a close second and very beautiful. I did the herringbone tile pattern on my 5' wide fireplace to the ceiling..... here are some others.... https://construction2style.com/tutorials/subway-tile-pattern-ideas/
this has some info on basketweave design https://thediyplaybook.com/install-marble-basketweave-floor-tile/
Here is a video. https://www.youtube.com/watch?v=p6aWYOP_Bi8