The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 2X 4X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4X 1 1 1 1 1 1 0 1 1 0 1 0 0 3X 4X 3X+1 4X+1 1 3X+2 4 3X+3 1 1 2X+4 X+4 3X+4 X+1 0 3 2X+3 2X+2 3X+2 4X+2 2 X+4 4 3X+4 4X+1 X+3 2X+2 4X 4 1 2X+1 X X+3 3 3X+2 4X+2 4X 3X+3 3X+3 0 0 1 0 3X+1 3X+2 3X+3 1 4X+2 X+1 2 2X+3 3X+2 2X+3 2X+1 X+3 3X 3X+4 4X+4 X+2 2 1 2X X+2 4X+2 3X+1 2X+1 X X+3 4X+4 2X+4 4X+1 4 3X+4 2X+4 2X+4 3 4 X+2 3X+3 1 3X 3X+3 0 0 0 1 3X+3 3X+2 4X+3 3X+1 X 4X+2 X+1 2X X+4 2 4 4X+4 4X+1 2X+1 3X+4 2X 3X+2 X+4 X+2 2X+3 3X 4X+1 2X 3X 2 4X+3 X 3X+4 2X+4 4X+2 4X+2 3 3X+1 3X+1 4X+4 X+2 X+2 4X+2 3X+3 generates a code of length 43 over Z5[X]/(X^2) who´s minimum homogenous weight is 154. Homogenous weight enumerator: w(x)=1x^0+680x^154+648x^155+1360x^156+2320x^157+2180x^158+4740x^159+4052x^160+5820x^161+7180x^162+6100x^163+11820x^164+9876x^165+13680x^166+15460x^167+12440x^168+22420x^169+21176x^170+25240x^171+26840x^172+19780x^173+33020x^174+25752x^175+26900x^176+24620x^177+14320x^178+19640x^179+11520x^180+9500x^181+6080x^182+2680x^183+2680x^184+36x^185+36x^190+16x^195+4x^200+4x^205+4x^210 The gray image is a linear code over GF(5) with n=215, k=8 and d=154. This code was found by Heurico 1.16 in 143 seconds.