The Latin name would give this the proper patina of age. The German name Schönaichianum is also possible.

ccccc

The Academic Gymnasium Danzig (German: Akademisches Gymnasium Danzig, Polish: Gdańskie Gimnazjum Akademickie), was a school founded in Danzig (formerly in Royal Prussia and now Gdańsk, Poland) [3] [4] It was founded in 1558 by Johann Hoppe (1512–1565), who had previously worked at schools in Culm (Chełmno) and Elbing (Elbląg) until Catholic Prince-Bishop Stanislaus Hosius closed them. For most of its existence it had a character similar to that of a university, and after 1580 it was named Akademisches Gymnasium Danzig.
https://www.revolvy.com/page/Academic-Gymnasium-Danzig

cccccc
W latach 1601-1628 działało tutaj znane w Europie kalwińskie gimnazjum akademickie z prawem nadawania tytułów bakałarza i magistra - tzw. "Schönaichianum".
https://pl.wikipedia.org/wiki/Bytom_Odrzański

The biggest achievement by Georg von Schoenaich however was the establishment of a humanist Gymnasium academicum school in 1601.
https://en.wikipedia.org/wiki/Bytom_Odrzański