The generator matrix 1 0 1 1 1 1 1 1 1 0 1 X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 3X+4 3 0 3X+1 2 1 3X+1 1 X 3X+4 3 X X+2 4X+4 X+3 2X+1 X+2 4X+4 X+3 1 3X 2X+1 3X+3 2X+2 2X+2 2 2X 3X 2X 2X+2 X+4 X+4 X+2 2X 3X+4 X+4 4X+4 0 0 3X 2X X 0 4X 2X X 2X 4X X 3X 0 2X X 4X 2X 3X X 0 3X 4X 4X 2X 0 X 0 3X 4X 4X 3X X 2X 3X 0 X 0 4X 2X X generates a code of length 41 over Z5[X]/(X^2) who´s minimum homogenous weight is 158. Homogenous weight enumerator: w(x)=1x^0+540x^158+400x^159+44x^160+820x^163+200x^164+64x^165+340x^168+400x^169+300x^173+12x^180+4x^185 The gray image is a linear code over GF(5) with n=205, k=5 and d=158. This code was found by Heurico 1.16 in 0.0848 seconds.