The generator matrix 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 X 1 X 1 1 1 1 1 1 2X 1 1 1 X 1 1 0 4X 1 1 1 1 0 X 1 1 1 0 1 1 2 3X+4 3 0 3X+1 2 3X+4 3 1 0 3X+4 3 1 3X+1 2 X+3 1 X+3 1 3X+1 X+2 4X+1 X+2 X 4X 1 4X+1 4X+1 3X+2 1 X+1 3X+1 1 1 4X+4 4 2X+1 3 1 1 X 2 0 0 0 3X 0 3X 2X 0 4X 2X 4X X 3X 2X 0 3X 3X 3X 0 2X X X 0 3X 4X X X 2X X 4X 4X 4X 4X 4X 2X 2X 0 X 4X 3X 4X 3X 4X 2X 3X X 0 0 0 0 X 3X X 2X 3X 0 2X 3X X 2X 3X X 3X 4X 2X 3X 4X 2X 4X 2X 0 3X X X 0 4X 2X 4X X X 2X 3X X 0 X 0 0 3X 0 4X 0 0 X generates a code of length 46 over Z5[X]/(X^2) who´s minimum homogenous weight is 170. Homogenous weight enumerator: w(x)=1x^0+144x^170+180x^171+620x^174+860x^175+660x^176+860x^179+1236x^180+1140x^181+1700x^184+1612x^185+2020x^186+1540x^189+1448x^190+1000x^191+280x^194+248x^195+20x^200+24x^205+8x^210+12x^215+8x^220+4x^225 The gray image is a linear code over GF(5) with n=230, k=6 and d=170. This code was found by Heurico 1.16 in 0.321 seconds.