In the frame work of the cluster folding model, for the first time, the 6He+12C real folded potentials are derived using new forms of the nuclear matter density of 6He nucleus based on α+2n or di-triton configurations. The angular distributions of the elastic scattering differential cross section at energies 38.3,41.6 and 82.3 MeV/nucleon are reexamined using the generated potentials. Comparisons between the extracted and measured angular distributions of the differential cross sections are presented. Satisfactory reproduction of the data is extracted by using the square Woods-Saxon (WS2) form instead of the usual WS shape without need to renormalize the derived potentials. The resulted reaction cross sections are also investigated and compared with the optical limit Glauber model predictions.