A vacuum insulated structure includes a first panel and a second panel, wherein the second panel is operably coupled to the first panel to define an insulating space therebetween. An airway system is disposed within the insulating space and includes portions of porous tubing configured to draw air along lengths of the porous tubing from the insulating space during an evacuation procedure. A plurality of connectors interconnect the portions of porous tubing of the airway system to inner walls of the insulating space. The connectors may include support members that extend between the panels within the insulating space to support the vacuum insulated structure under vacuum pressure. Further, first and second panels can include rigidifying structural configurations to combat vacuum bowing during the evacuation procedure.