Thanks for the mention, aunty! :-)
One method that I've seen for growing potatoes in a small space is using a tote with drainage holes in the bottom, starting with about 3-4 inches of dirt in the botom, and adding dirt as the potatoes grow to cover the main stem as it grows.
You could also build a series of 2 foot by 2 foot box sides, like a raised bed, and stack them as the potatoes grow, to hold the dirt that you add as the plants grow. You don't want to plant too many seed potato chunks in a small space, you don't want them to crowd each other out. I would say 4 in a 2X2 space or 2-3 in an average size tote, like an 18 gallon. Try to get heavy duty totes, they're more expensive, but they won't split with the weight of a load of wet dirt.