This is the 14045th most frequent Russian word.
одинаковыми
"Одинаковыми" means "identical" or "the same" (in plural instrumental form).
The word 'одинаковыми' is used to describe 'увлечениями,' indicating characteristics (interests) that are the same.
У нас с друзьями одинаковыми увлечениями.
We and my friends have identical interests.
The word 'одинаковыми' is applied to 'ботинки и куртка,' emphasizing a shared property, the same color.
Мои ботинки и куртка оказались одинаковыми по цвету.
My boots and jacket turned out to be identical in color.
In this sentence, 'одинаковыми' describes 'проекты,' referring to their similar appearance.