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 1 1 1 1 1 X 1 1 X 1 1 0 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 2X+4 0 X X+2 X+3 2X 4X+2 4X+1 1 X X 1 4X+3 X+3 1 2 1 3X+2 X+2 0 0 3X 0 3X 2X 0 4X 2X 4X X 3X 2X 0 3X 0 2X X 4X X 0 X 4X 3X 4X 4X 0 4X 3X 2X 0 3X 2X 2X X X 3X 0 2X 2X 0 4X 0 0 0 X 3X X 2X 3X 0 2X 3X X 2X 3X X 4X 3X 2X X X X 0 2X 4X 3X X 2X 4X 3X X 0 0 3X 0 4X 4X 2X 4X 4X X 2X 4X generates a code of length 42 over Z5[X]/(X^2) who´s minimum homogenous weight is 155. Homogenous weight enumerator: w(x)=1x^0+148x^155+120x^156+600x^158+720x^159+532x^160+460x^161+960x^163+840x^164+704x^165+600x^166+1520x^168+2160x^169+1048x^170+940x^171+1680x^173+1280x^174+580x^175+380x^176+240x^178+28x^180+32x^185+20x^190+16x^195+8x^200+8x^205 The gray image is a linear code over GF(5) with n=210, k=6 and d=155. This code was found by Heurico 1.16 in 0.294 seconds.