The generator matrix 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 2X 1 1 1 1 0 1 1 2 4 3 3X+1 0 2 3X+4 3 1 3X+1 2 3 3X+4 0 1 1 3X+4 X 2 3 3X+1 X+2 0 X+3 4X 3X+4 2X+2 4 4X 1 2X+2 1 X+3 2X+3 2X+4 1 3X 3 3X+4 0 0 0 3X 0 0 0 0 X 2X 4X 2X X 3X 3X 3X 0 2X X X X 3X X X 0 2X 3X 3X 3X 0 4X 2X 4X 3X X 0 2X 2X 0 0 2X 3X 2X 0 0 0 0 X 0 X 3X 3X 0 2X 3X 2X 3X 0 2X 2X 4X 3X 2X X 3X 4X 3X 4X 2X 3X 4X 4X 3X 4X 4X 3X 4X 2X 4X 3X 0 0 4X 2X 3X 3X 0 0 0 0 0 3X 3X 2X 4X 4X 0 3X 2X 4X X 0 2X 0 2X 3X 2X 3X X 0 3X 3X 0 2X 3X X 2X X 4X 4X 2X 2X 0 3X X 0 0 3X 4X 2X generates a code of length 43 over Z5[X]/(X^2) who´s minimum homogenous weight is 150. Homogenous weight enumerator: w(x)=1x^0+104x^150+60x^154+608x^155+300x^156+920x^159+1628x^160+1120x^161+2720x^164+4032x^165+4120x^166+6720x^169+7576x^170+8920x^171+9420x^174+8952x^175+8820x^176+5160x^179+4524x^180+1720x^181+284x^185+208x^190+144x^195+48x^200+8x^205+8x^210 The gray image is a linear code over GF(5) with n=215, k=7 and d=150. This code was found by Heurico 1.16 in 7.21 seconds.