The present invention refers to a microporous material formed by oxygen, silicon, germanium, aluminum, boron, gallium, zirconium and/or titanium in its composition, called TIQ-6, to its catalytic applications in oxidation reactions, and to a method of the TIQ-6 material's preparation based on the synthesis of a gel with a titanium and/or zirconium content, its hydrothermal treatment under controlled conditions, and the treatment of the resulting laminar material with a solution of an organic compound containing a proton accepting group. This swollen material is subjected to a specific treatment to obtain a high external area delaminated solid. A material, METIQ-6, similar to the TIQ-6 material, but also having organic groups anchored on its surface incorporated by a post-synthesis process onto the TIQ-6 material is also claimed.