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_name_22 ( all_bills_cosponsored INTEGER, all_bills_sponsored VARCHAR, all_amendments_sponsored VARCHAR )

### Question ###
What is the highest number of bills cosponsored associated with under 24 bills sponsored and under 16 amendments sponsored?

### Accurate SQL ###

SELECT MAX(all_bills_cosponsored) FROM table_name_22 WHERE all_bills_sponsored < 24 AND all_amendments_sponsored < 16