Autoembed tweet links in Hugo with markdown render hook https://gohugo.io/templates/render-hooks/

render-link.html

{{ if (eq .Destination .Text) | and (in .Destination "twitter.com") | and (in .Destination "status") }}
    <blockquote class="twitter-tweet" data-dnt="true">
        <a href="{{ .Destination | safeURL }}">{{ .Text | safeHTML }}</a>
    </blockquote>
    <script async src="https://platform.twitter.com/widgets.js" charset="utf-8"></script>
{{ else }}<a href="{{ .Destination | safeURL }}"{{ with .Title }} title="{{ . }}"{{ end }}>{{ .Text | safeHTML }}</a>{{end}}