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 2X 1 1 4X 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+4 1 4X+2 4 1 2X 2X 2X+4 3X+1 1 3X 2X+1 4X+4 0 X 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 X 4X X 2X 2X 0 4X 4X 3X X 3X 2X 0 2X 0 generates a code of length 43 over Z5[X]/(X^2) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+192x^165+400x^167+520x^168+560x^170+280x^172+160x^173+100x^175+240x^177+320x^178+252x^180+80x^182+8x^185+12x^190 The gray image is a linear code over GF(5) with n=215, k=5 and d=165. This code was found by Heurico 1.16 in 0.0194 seconds.