The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2X X 1 4X 1 1 1 1 1 4X 1 1 1 1 1 2X 1 1 1 0 1 0 3X 2X X 1 3X+1 4 3X+4 2X+1 2X+4 X+2 3X+2 1 1 2X+2 1 3X+1 4 X+3 X+2 4X+1 1 3X+4 3X+2 X+1 4X X+4 1 4X+4 4X+2 0 0 0 1 3X+1 2 4 X+4 3X+2 X+1 4X 4X+3 X+3 3X 4X+1 1 2X+4 4X+4 4X+3 2X+1 2X+4 2X+2 3 3X+3 X+3 2X+3 1 2X+2 3X+2 2X X 4X+4 X+2 3X generates a code of length 33 over Z5[X]/(X^2) who´s minimum homogenous weight is 124. Homogenous weight enumerator: w(x)=1x^0+2120x^124+512x^125+3740x^129+1152x^130+3660x^134+1180x^135+2980x^139+260x^140+12x^150+8x^155 The gray image is a linear code over GF(5) with n=165, k=6 and d=124. This code was found by Heurico 1.16 in 71.6 seconds.