Currently Instagram supports for only post embed is seems. There is no direct implementation to Instagram feed embed. https://www.instagram.com/developer/embedding/
But there are third party tools which provide Instagram feed to be embed to your website. Try free tools such as https://taggbox.com/instagram-widget/ to embed to your website.
There are many more available in the market.
I recommended you to use social media aggregator because they are coding free, innovative layout, responsive in all devices etc.