The SYRMEP Beamline at the ELETTRA Synchrotron (Trieste, Italy) has already been performing clinical mammographic examinations using X-rays generated by one bending magnet. These examinations have been performed with traditional screen-film systems, but in order to exploit the characteristics of the beam (monochromatic in the energy range 8.5-35 keV, with a rate up to 7 × 10⁷ photons/(mm² s) at 17 keV), a double layer Silicon detector has been developed within the INFN PICASSO project. This detector is the evolution of the single layer already deployed by the INFN MATISSE project, in collaboration with the Paul Schemer Institut. This single layer was based on a microstrip Silicon sensor (50 pm pitch) coupled to the Mythen-I1 high-rate photon counting ASIC, used in the edge-on configuration to improve the detection efficiency. This contribution presents the development of a double layer with limited coverage (5.5 cm instead of 21 cm), used to verify all the steps in view of the construction of the full scale assembly. We present the results in terms of rate and of the imaging capability of standard phantoms, recorded in the phase contrast imaging modality.