The generator matrix 1 0 0 1 1 1 1 3X 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 4X 1 1 3X 1 2X 1 1 1 1 1 0 1 1 1 1 4X 4X 1 0 1 0 3X 2X 3X+1 1 1 2 X+2 4X+1 3X+4 2X+2 X+4 1 X 4 4X+2 2X+1 3X+4 X+3 4X+4 1 3 3X+3 1 4X 1 2X+4 X X+1 1 4X 1 4X+4 2X+1 4X+4 3X+1 2X 1 2X 0 0 1 3X+1 2 3X+2 1 4X+1 2X+2 3X X+3 2X+3 4 2X 2X+3 4X+4 3X+4 3 2X+4 4X+1 2X+1 X+2 X+2 X 4X+4 4 3X+4 3X+3 2 X+2 2X+4 4X+2 2X 2X+3 2X+4 3 4X+1 3X+4 1 2 2X+2 generates a code of length 41 over Z5[X]/(X^2) who´s minimum homogenous weight is 154. Homogenous weight enumerator: w(x)=1x^0+700x^154+340x^155+200x^156+560x^157+860x^158+1760x^159+920x^160+280x^161+520x^162+1060x^163+1740x^164+916x^165+240x^166+480x^167+700x^168+1440x^169+908x^170+280x^171+440x^172+380x^173+860x^174+24x^175+12x^180+4x^185 The gray image is a linear code over GF(5) with n=205, k=6 and d=154. This code was found by Heurico 1.16 in 0.223 seconds.