Brahmin education system was exclusive to Brahmin and Kshatriyas.

Vedas were taught only to Brahmin males for most of history. And higher philosophy such as Advaita Vedanta were taught only to Brahmins.

There exist many Brahminical schools in India even today where you can gain admission only if you are born to a Brahmin family.

Buddhists paid no attention to caste, and after long interview and/or written tests, people from any caste could gain entrance to Buddhist higher education institutions.

And many Hindu kings, not only Guptas, nurtured and sponsored Buddhist higher ed. institutes and higher officials of their administrations almost always were exclusively gradutes of such institutions.