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The x on each end is a bit strange. It’s normally two letters and four numbers. I’m not an expert, but I’d suggest the date code is more likely the S which would make it 1951/52.
There’s a date chart in this thread on Retrobike: https://www.retrobike.co.uk/threads/j-c-parkes-year-and-model.449551/
Also if you haven’t seen it there’s this old thread on here where a few of the Parkes family popped up: https://www.lfgss.com/conversations/170221/
XSM8412X - 1956?