Yoma 34 Asara B'Teves on Shabbos?

The Chasam Sofer (Orach chaim 9) asks on this Gemora that the pesukim are clear that there are nesachim by the morning tamid and the afternoon as well. One pasuk is explicit that the primary nesachim is in the morning. He comments that there are many that ask these kashos without finding a satisfactory answer. Look there how he answers it. The Chasam Sofer ends the teshuva by signing his name and dating it Sunday, the 11th of Teves 5578. Was Asara B'Teves on Shabbos that year?

UPDATE
In the Likutei Heoros on the Chasam Sofer, he comments that asara b'Teves cannot fall out on Shabbos and in the year 5578 it happened to be a Friday, so there seemingly is a printers mistake and it should say Sunday, the 12th of Teves.