We report synthesis, structural characterization, and magnetic measurements of amorphous Mn$_{12}$-acetate ribbons with a triclinic short-range crystal order not previously seen in experiment. The ribbons exhibit the same structure of Mn$_{12}$ molecules and the same positions of tunneling resonances on the magnetic field as a conventional tetragonal Mn$_{12}$-acetate crystal. However, the width of the zero-field resonance is by at least one order of magnitude smaller, indicating very small inhomoge- neous broadening due to dipolar and nuclear fields. Possible origins of this effect are discussed.