Broken markup after editing a post with a DocBlock (in code)

I wrote a post including a fenced code block (i.e., triple backticks). The code in that block included a DocBlock, like so:

```
/**
* Blabla here...
*
* Some more blabla...
*/
```

After I published the post, it looked all good.

Then I **edited** it (from the frontend, **not** WordPress backend), changed a small bit, and saved again ... and then it was all broken.

H2 seemed to interpret the ` * ...` lines in the content (already HTML) as markdown lists, and it all broke.