The minimum HTML code required to create a Phaser.js game within an HTML document with a window of at least 1024x1024 pixels would be:

<!DOCTYPE html>
<html>
<head>
    <script src="https://cdn.jsdelivr.net/npm/phaser@5.0.0/dist/phaser.js"></script>
</head>
<body>
    <script>
        const game = new Phaser.Game({
            type: Phaser.AUTO,
            width: 1024,
            height: 1024,
            scene: {
                create: function() {
                    // your game logic goes here
                }
            }
        });
    </script>
</body>
</html>

This code includes the Phaser.js library from a CDN and creates an instance of a Phaser.Game with the specified width and height. The create method of the scene is where you can add your game logic, such as creating game objects, handling user input, etc.
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