Magnetic, electric, and thermal properties has been studied on a series of CenNimGel (with n-m-l = 2-1-6, 3-2-7, 1-1-3, and 2-3-5) intermetallic compounds, The magnetic susceptibility, electric resistivity rho (T) and specific heat C-p display low temperature anomalies due to antiferromagnetic (AFM) transitions in 2-1-6 and 3-2-7 compounds. Besides, a broad feature from crystal field (CF) splitted Cc levels is observed in rho (T) and Seebeck coefficient S(T) in these materials. The electronic effective mass evaluated from our data ranges from similar to 10m(e) (2-1-6) to similar to 100m(e) (2-3-5), consistent with a gradual transition from AFM to heavy fermion regime. A microscopic model for the magnetic subsystem in the exemplar 2-1-6 compound is proposed, including the CF splitting and a weaker RKKY exchange. It indicates a possibility for low-temperature magnetic phase with mutually orthogonal AFM sublattices and for dimensional (3D --> 2D) magnetic transition at approximate to 7 K, preceding the AFM-paramagnetic transition at approximate to 10 K in this system.