Monolayers of 1,2-dipalmitoylgalloylglycerol (DPGG) were investigated at the air-water interface. The monolayers exhibit high rigidity which leads to the formation of surface tension gradients in the film. Transfer to solid substrate yields homogeneous Langmuir-Blodgett films with low surface roughness. Large numbers of aggregates were observed by Brewster angle microscopy and imaging ellipsometry at relatively high molecular areas. At all pressures, the DPGG molecules adopt conformations corresponding to low tilt angles. Constant area measurements result in a pressure increase as the film rearranges to maximize the intermolecular interactions. An optimal intermolecular distance required for the formation of a hydrogen-bond network between headgroups is proposed to explain the observed, highly cohesive monolayer behavior.