Why use "distinction" in this sentence?

[Mickey]

English Language Tests, Intermediate level

ESL/EFL Test #180 "Australiana: expressions that describe life in Australia", question 6

Perth is the most western town of Australia and holds the ......... of having more sun-filled hours than most of Australia's other capital cities.

(a) peculiarity
(b) admiration
(c) notoriety
(d) distinction

English Language Tests, Intermediate level

ESL/EFL Test #180 "Australiana: expressions that describe life in Australia", answer 6

Perth is the most western town of Australia and holds the distinction of having more sun-filled hours than most of Australia's other capital cities.

Correct answer: (d) distinction

Your answer was: correct
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Why use "distinction" in this sentence?

[Mister Micawber]

'To hold the distinction of' is a fixed phrase.
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Native English teacher at Mister Micawber's