Yes good point Willard3. I just assumed you were going to replace the condensing unit and piping and only trying to reuse the evaporator coil. Your filters expansion devices Etc would all need to be replaced as well. And as I recommended so should your evaporator coil.
I've done retrofits from R22 to r407c, which essentially just requires a good flushing of the oil. However, 22 and 410A are not compatible at all with the operating pressures. You really need a whole new system.