Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_16677738_1 (without_the_walls INTEGER, within_the_walls INTEGER)

### Question ###
When within the walls is larger than 56174.0 what is the lowest amount without the walls?

### Accurate SQL ###

SELECT MIN(without_the_walls) FROM table_16677738_1 WHERE within_the_walls > 56174.0