The photoluminescence studies in CdTe/CdMnTe quantum wells are reported in the temperature range 10-300 K. The MnTe concentration in the barriers is x = 0.3, 0.5, 0.63 and 0.68. Thus the potential wells in our samples are very deep, of the order of 800 meV in the conduction band and 200 meV in the valence band in the case of the x = 0.68 sample. In spite of the large lattice mismatch (related to high x value) between the wells and the barriers the observed line widths are as narrow as 2 meV in the case of 100 A. Clear manifestations of internal strain are observed. In particular, the temperature coefficient of the luminescence energies shows strong dependence on the width of wells.PACS numbers: 73.20. Dx, 78.55.Et Superlattices and quantum wells composed of diluted magnetic semiconductors (DMS) are studied for a decade now [1,2]. From many possibilities offered by DMS systems the most thoroughly investigated structures are those consisting of CdTe (quantum wells) and Cd1-x Mnx Te (barriers). In the majority of cases, the MnTe molar fraction in the structures studied so far was limited to x < 0.3 (superlattices involving pure cubic MnTe being an exception). The reasons for limiting the studies to small molar fractions were, probably, related to difficulties in preparation of quantum well structures of sufficient quality suitable for optical and magneto-optical investigations. These difficulties are related to a considerable lattice mismatch between CdTe and highly concentrated Cd 1 -x Mnx Te (αCdTe = 6.481 A, αcdMnTe = (6.481 -0.148x) A) which may result in formation of dislocations and other structural imperfections that reduce the optical quality . of the material.Here we present a study of a luminescence from a series of CdTe/Cd1-x Mnx Te quantum wells with MnTe molar fraction in barriers as high as x = 0.68. The samples studied by us were grown by molecular beam epitaxy on either GaAs(100) or CdTe(100) substrates. The growth was performed in EPI 620 apparatus at (500)