The generator matrix 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4X 1 1 1 3X 1 1 1 1 1 X 1 1 1 1 1 0 1 0 1 2 4 3X 3X+4 1 3X+2 1 3X 3 2 3X+2 0 2X+3 3X+4 2X+4 4X+3 3X+3 X+3 4 X 3X+1 4 3X+1 1 X+1 3X+2 X+3 4X X X+2 3X+4 X+2 3 1 X+2 2X+4 X+4 3X+3 2X+3 0 0 1 3 2 1 3X+4 3X+3 1 3X+4 3 3X+1 2X 0 X+3 3X+2 3 X+2 2X X+4 2X+1 4X+2 2X+4 X+3 X+4 3X+1 4X 4X+4 3X 4X+3 4X 1 2X+2 3X+2 2X+2 3X+2 4X 2X+4 0 3X+2 4X+1 4X+1 X 0 0 0 3X 4X 0 X 4X X 3X 4X 2X 2X X 2X 2X 0 3X 4X 0 X 2X X 4X 2X 3X 0 X 4X 0 X 4X X 3X 0 X 3X 4X 0 2X 2X 0 4X generates a code of length 43 over Z5[X]/(X^2) who´s minimum homogenous weight is 157. Homogenous weight enumerator: w(x)=1x^0+380x^157+760x^158+220x^159+716x^160+520x^161+2900x^162+3260x^163+1600x^164+1888x^165+960x^166+5100x^167+5320x^168+2280x^169+2572x^170+1200x^171+9000x^172+7880x^173+3760x^174+3540x^175+1640x^176+8200x^177+6440x^178+2140x^179+1780x^180+680x^181+1920x^182+1340x^183+68x^185+32x^190+12x^195+8x^200+4x^205+4x^215 The gray image is a linear code over GF(5) with n=215, k=7 and d=157. This code was found by Heurico 1.16 in 6.54 seconds.