Add SetTimeout To Google Tag Manager Manually

Loading in Wordpress tag manager, and I want to add a setTimeout to load the script 5 seconds later.

    echo "<script>(function(w, d, s, l, i) {
    w[l] = w[l] || [];
    w[l].push({
        'gtm.start': new Date().getTime(),
        event: 'gtm.js'
    });
    var f = d.getElementsByTagName(s)[0],
        j = d.createElement(s),
        dl = l != 'dataLayer' ? '&l=' + l : '';
    j.async = true;
    j.src =
        'https://www.googletagmanager.com/gtm.js?id=' + i + dl;
    f.parentNode.insertBefore(j, f);
})(window, document, 'script', 'dataLayer', 'GTM-code');</script>";

second part:

<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-code"
        height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>

Be careful with loading GTM late. If a user visits your site for just a few seconds and then leaves, it is called a "bounce" in Google Analytics. If GTM doesn't load in time to send a page view to Google Analytics, you can have an artificially low bounce rate. You may want to consider other options to whatever problem you're solving before delaying GTM.

Having said that, here's some code that should work. :)

echo "<script>
var loadGtm = function(w, d, s, l, i) {
  w[l] = w[l] || [];
  w[l].push({
    'gtm.start': new Date().getTime(),
    event: 'gtm.js'
  });
  var f = d.getElementsByTagName(s)[0],
      j = d.createElement(s),
      dl = l != 'dataLayer' ? '&l=' + l : '';
  j.async = true;
  j.src = 'https://www.googletagmanager.com/gtm.js?id=' + i + dl;
  f.parentNode.insertBefore(j, f);
}
setTimeout(loadGtm.bind(null, window, document, 'script', 'dataLayer', 'GTM-code'), 5000);
</script>";

As @Eike Pierstorff said, it doesn't make sense to load the noscript tag with setTimeout. If javascript is enabled, that tag won't do anything. If javascript is disabled, the setTimeout won't work so the noscript tag won't get added. I would just add it to the body as-is.