Write SQL query to solve given problem: What is the lowest minimum temperature recorded in store 16 on January 2012?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT MIN(tmin) FROM weather AS T1 INNER JOIN relation AS T2 ON T1.station_nbr = T2.station_nbr WHERE T2.store_nbr = 16 AND T1.`date` LIKE '%2012-01%'