This is the 4021st most frequent Russian word.
липецкой
"Lипецкой" relates to Lipetsk, a city or region in Russia.
Here, 'Липецкой' functions as an adjective describing 'области' (region), indicating its geographical origin.
Я родом из Липецкой области.
I am originally from the Lipetsk region.
In this sentence, 'Липецкой' again serves as an adjective describing the region where the apples are cultivated.
Этот сорт яблок выращивают в Липецкой области.
This variety of apples is grown in the Lipetsk region.
'Липецкой' is used as an adjective to specify the location of the gymnasium, referring to an institution in the Lipetsk area.