The generator matrix 1 0 0 1 1 1 1 3X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 4X 1 1 0 3X 1 1 1 1 4X 3X 4X 1 1 1 1 1 1 0 1 0 3X 2X 3X+1 1 1 2 X+2 4X+1 3X+4 4X+2 4 1 4X+4 3 2X+1 X 4X+3 2X+3 2X+2 X+4 4X+4 4X+3 1 3X+2 X+3 1 1 3X+3 X+2 2 3 1 1 1 2X+3 4X+2 3X+1 2X+3 3X+4 0 0 0 1 3X+1 2 3X+2 1 4X+1 2X+2 3X X+3 2X+3 X+1 2X 3X+3 2X+1 X+2 3X+4 4X+4 4 X 4X+3 4X+4 4X+2 3X+1 4X+4 2X+4 2X+2 3 2X+1 4 4X+2 2X 3X+3 X+2 3X+3 3X+4 2 2X+3 3X+3 0 X 2 generates a code of length 43 over Z5[X]/(X^2) who´s minimum homogenous weight is 162. Homogenous weight enumerator: w(x)=1x^0+720x^162+280x^163+480x^164+648x^165+480x^166+1720x^167+960x^168+700x^169+852x^170+480x^171+1360x^172+840x^173+660x^174+540x^175+300x^176+1240x^177+920x^178+660x^179+560x^180+240x^181+960x^182+24x^185 The gray image is a linear code over GF(5) with n=215, k=6 and d=162. This code was found by Heurico 1.16 in 0.237 seconds.