human
Considering the provided database schema and associated query, produce SQL code to retrieve the answer to the query. 
###Database Schema: District, Population, Area, Pop. Dens., No.of Settlements
###Question: What is the lowest population density of Strakonice (st) with more than 112 settlements?
gpt
SELECT MIN Pop. Dens. FROM table WHERE District = strakonice (st) AND No.of Settlements > 112