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AV - What size socket for these wheel studs?

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Alloy wheel Rim Automotive wheel system Hubcap Spoke

Hi Guys, I was wondering if someone would know the size of the six sided socket I need to buy from these wheel studs on a 2016 LP 700-4 AV Roadster. I bought a 12mm one (seems too small?) and a 13 mm one (too big).
Could some please advise. THANKS!! ED (Australia)