Emulate DirectoryIndex in Django dev server

Question

I'm able to configure a new Django project to serve static files. This is the project layout:

.
├── __init__.py
├── manage.py
├── settings.py
├── mystatic
│   └── index.html
└── urls.py

settings.py:

STATICFILES_DIRS = (
    join(abspath(dirname(__file__)), 'mystatic'),
)

I run the server the usual way:

./manage.py runserver

This works pretty well. At http://127.0.0.1:8000/static/index.html it shows my custom index page. What I'd like to do is access to http://127.0.0.1:8000/static/ (with or without trailing slash) and get the same page. Instead the server doesn't respond with my own page, but with the default Django project page (It worked! Congratulations on your first Django-powered page. etc.).

How should I change things (maybe in urls.py or in some view), so that even if without specifying index.html both the URLs give the page I want? Using plain Apache this is the default behavior, because when a page name is not specified index.html is used (see Apache's DirectoryIndex). I need to replicate the same on Django development server.