. 'Portuguese' Cut is a very fancy round with extra rows of facets. In a normal-sized diamond its too-many facets are so small that instead of snappy scintillation, you get a fizzy rolling of reflections within the stone. I don't recommend it.
. The extra cutting and greater precision invoke a higher-than usual cost for the same weight stone. I have never seen a diamond cut this way (I cut a citrine this way once to test my machine). Perhaps Asscher can help you (search Internet).
Edit: According to Vargas "Diagrams for Faceting", the full Portuguese cut has 161 facets = 10 rows of 16 facets + table.