The present invention describes an extrusion process for manufacturing a titanium-containing silicate glass honeycomb structure (100), having a variety of shapes and sizes depending on its ultimate application. The titanium-containing glass honeycomb has a very low coefficient of thermal expansion (CTE) and the CTE can be varied by adjusting the titanium level to match the CTE of members that are bonded to the honeycomb. Furthermore, the inventive honeycomb structure is lightweight, yet able to advantageously used as a light-weight support for such objects as mirrors. Especially extraterrestrial environments where temperature extremes are present. These honeycombs can be used singularly or in aggregates to provide such support. Embodiments are described wherein the mass of the honeycomb is further reduced by removing select portions of the honeycomb without deleteriously impacting its ability for load bearing.