> The origins of Standarddeutsch trace back to Martin Luther's bible translation that exposed a huge audience to a very important text, which was most importantly also written to be approachable to that audience.
If you want to go this route, then you could also say that the origins of Standard Chinese date back hundreds of years, to the language spoken by the imperial bureaucracy, or to massively popular works written in vernacular Chinese, like the Dream of the Red Chamber (late 1700s). There are always ancient antecedents that you can trace, but they become less and less directly related to the development of the modern language.
Yes, the Luther Bible was an important influence on the development of a standard literary German, but if you want to trace the development of a standardized spoken dialect of German, you have to go to the 19th Century and the development of Bühnendeutsch ("stage German"), which because of its use in theater had to have a standard pronunciation.