With cross-laminated timber you can go even higher (though I imagine it's more expensive than this building style): https://en.wikipedia.org/wiki/Cross-laminated_timber

> In 2012, Forte Living, an apartment complex in Melbourne, Australia, became the tallest plyscraper framed with CLT alone. The building has 10 stories and stands just over 32 m tall. The 759 CLT panels necessary for the project were manufactured in Austria using European spruce that was grown and harvested there.[31]