# [Retina], <s>36</s> 33 bytes

<pre><code>
%%%%
+`(^|\b)%
0$%'¶$%`1
11!`\d+
</code></pre>

[Try it online!]

**Explanation**

<pre><code>
%%%%</code></pre>

Replace the empty (non-existent) input with `%%%%`.

    +`(^|\b)%
    0$%'¶$%`1

On the first run of this stage, it will match `^%` and essentially replace the text `%%%%` with the two lines `0%%%` and `1%%%`. The stage will loop until the output stops changing. On the second run, it will match `\b%` (since digits count as word characters and `%` doesn't), and replace the groups by duplicating them and adding `0` to one copy and `1` to the other: `0%%%` becomes the lines `00%%` and `01%%` (and the same sort of thing for `1%%%`). Through this loop all 16 bitstrings will be produced, linefeed separated.

    11!`\d+

The first 11 matches of `\d+` (a run of at least 1 digit) are retrieved. The matches are output in a linefeed-separated list.

[Retina]: https://github.com/m-ender/retina
[Try it online!]: https://tio.run/nexus/retina#@8@lCgRc2gkacTUxSZqqXAYqquqHtqmoJhhyGRoqJsSkaP//DwA "Retina – TIO Nexus"