The kind of stars that creates heavier elements such as copper and zinc is the first-generation stars. More specifically, the explosions (supernovae) that these stars underwent.
The first-generation stars were the stars that were formed after the Big Bang happened. These stars consisted mainly of hydrogen and helium. When these stars exploded in supernovae, that explosion creates some heavier elements that exist in the universe, such as copper and zinc.
The stars that came after the first generation, the second-generation stars like our Sun, contain these heavy elements. Since these elements can't exist purely from the nuclear fusion inside stars, they must have come from the supernovas.
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