We never call the Carbonite map a minimap, regardless of the size, since Blizzard calls their small radar map a minimap.
The minimap is not always in the corner of the Carb map. It is docked in the corner if it gets too small to see easily, scrolls off the edge or will not fix in the Carb map. Right clicking the Carb map, selecting scale and changing the docked scale slider lets you make it huge if you want. You can even change the "Minimap dock X offset" in the Map Minimap page of the Options window to make it outside the Carb map. Try -70 for X and it would be outside and to the left of the Carb map.
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