The generator matrix 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 X 1 X 1 1 1 3X 1 1 1 1 1 X 1 X 1 1 0 1 1 2 3X+4 3 0 3X+1 2 3X+4 3 1 0 3X+4 X 4X+4 3X+1 2 3 1 4X 2X+4 3X+1 X+2 X+3 2X+1 1 X+2 1 2X+3 4X+1 2X+2 1 0 3X+4 X+1 X 2X+4 1 2X+4 1 X 3X+1 0 0 3X 0 3X 2X 0 4X 2X 4X X 3X 2X 0 3X 0 2X X 4X X 0 X 4X 2X 4X 4X 2X 2X X 0 2X 0 3X 4X 4X 2X 2X X 2X 4X 4X 3X 4X 0 0 0 X 3X X 2X 3X 0 2X 3X X 2X 3X X 4X 3X 2X X X X 0 2X X 0 4X 4X 4X 0 3X 2X 0 4X 0 4X 4X 3X 4X 2X X 3X 0 4X generates a code of length 43 over Z5[X]/(X^2) who´s minimum homogenous weight is 160. Homogenous weight enumerator: w(x)=1x^0+660x^160+200x^162+360x^163+2024x^165+400x^167+420x^168+2388x^170+1100x^172+1080x^173+3764x^175+800x^177+640x^178+1664x^180+40x^185+44x^190+20x^195+8x^200+4x^205+8x^210 The gray image is a linear code over GF(5) with n=215, k=6 and d=160. This code was found by Heurico 1.16 in 0.293 seconds.