An aspect of the present disclosure is generally directed to an ice making appliance that includes: an ice making compartment and an ice maker including an ice mold having a total water capacity. The ice mold includes a plurality of ice wells and is configured to release the ice cubes without the use of a heater and by twisting the ice mold. The ice wells are typically no more than about 12.2 mm in depth from a top surface of the ice mold and have a volume of about 20 mL or less. The ice maker is capable of producing at least about 3.5 lbs. of ice or more in a 24 hour span.