in azeotropic mixtures, the boiling point of the mixture is different to that of the individual components, when you try to distill a HCL/Water mix the vapor that forms is indeed a different composition, so at small amounts you can indeed distill HCL to some degree, however, the more you try to concentrate it, the composition of the vapor becomes close enough to that of the liquid to form an Azeotrope, at this point simply heating the solution will not cause any additional separation, even if you meet the seemingly required heat to do so, This is because the vapor maintains the same composition as the liquid, if you were to bypass this you would need an additional compound (an entrainer) that can modify the composition of the vapor phase, allowing for further separation by "Breaking" the azeotrope. for an HCL/Water mix you may be able to achieve this with alcohols or organic solvents like Toluene.
This is all to say, just find a good source for higher concentrations as doing it alone at small scale probably wont be cost effective.