As a part of our galaxy-cluster redshift survey, we present a set of 80 new velocities in the 4 clusters Abell 376, Abell 970, Abell 1356, and Abell 2244, obtained at Haute-Provence observatory. This set now completes our previous analysis, especially for the first two clusters. Data on individual galaxies are presented, and we discuss some cluster properties. For A376, we obtained an improved mean redshift <z> = 0.047503$ with a velocity dispersion of sigma_V = 860 km/s. For A970, we have <z> = 0.058747 with sigma_V = 881 km/s. We show that the A1356 cluster is not a member of the Leo-Virgo supercluster at a mean redshift <z>= 0.112 and should be considered just as a foreground group of galaxies at <z> = 0.0689, as well as A1435 at <z> = 0.062. We obtain <z> = 0.099623 for A2244 with sigma_V = 965 km/s. The relative proximity of clusters A2244 and A2245 (<z> = 0.0873816, sigma_V = 992 km/s) suggests that these could be members of a supercluster that would include A2249; however, from X-ray data there is no indication of interaction between A2244 and A2245.
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