It is about as close as I can get.
Jsfiddle
h1 { font-family:'Press Start 2P', Arial; font-weight: 400; color: white; font-size: 30px; font-smoothing: antialiased; text-shadow: -4px -4px 0 #000, 4px -4px 0 #000, -4px 4px 0 #000, 4px 4px 0 #000, -8px -8px 0 black, 8px -8px 0 black, -8px 8px 0 black, 8px 8px 0 black; }
Play with the shadow of the text to get different results. Basically you can stack them according to your needs. It certainly needs some tweaking.
Another good question: Contour effect for text.
Edit
The font I used is - Click Start 2P. Its a Google font, and you can find it here.
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