After analyzing sources of /wp-admin/ I realized that TinyMCE HTML view is just another textarea…
Anyways, here’s the answer (everything works like a charm excepting the “img” button, but you can hide it easily with CSS – #ed_img {display: none} ).
<div id="postdivrich" class="postarea">
<div id="editor-toolbar">
<script type="text/javascript" src="http://localhost/wordpress/wp-includes/js/quicktags.js?ver=20110502"></script>
<script type="text/javascript">edToolbar()</script>
</div>
<div id='editorcontainer'>
<textarea rows="20" cols="40" tabindex='2' id='content' name="your_name"></textarea>
</div>
<script type="text/javascript">
edCanvas = document.getElementById('content');
</script>
<table id="post-status-info" cellspacing="0"><tbody><tr><td><span>Textarea's description</span></td></tr></tbody></table>
</div>
Oh, and of course this is just a source “copypasta”, don’t forget to enqueue quicktags.js.