One other option for storing the results would be a table with a multipart primary key, One part bringing the preset number, the second being the setting number, and then a data column for the value.
Something like:
CREATE TABLE Presets (
preset_no INTEGER,
value_no INTEGER,
value REAL,
PRIMARY KEY(preset_no, value_no)
);
You can then get a complete set of values for a given preset with something like
SELECT value_no, value FROM Presets WHERE preset_no = ?;
where you bind the ? to the preset_no you want to fetch.
This has the ability to allow you to omit values from a preset if they don't matter to that one.