A new and distinct Echeveria hybrid plant named ‘TSAECH1606’ which is characterized by broad succulent foliage which is lightly concaved and moderately curled upward, light greyed-green juvenile foliage emerging from the center of the rosette, which becomes progressively suffused with greyed-red on the upper and brown on the lower surface moving outward from the center of the rosette, mature foliage at the outermost whorls of the rosette which is moderately suffused with greyed-red on the upper surface and brown on the lower surface, mature foliage which is narrowly margined and tipped pink, as well as the stability of these characteristics from generation to generation.
