The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 4X 1 1 1 3X 1 1 1 1 0 1 1 1 3X 1 1 1 1 1 1 1 1 1 X 0 1 1 1 1 1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 4X 1 1 1 1 1 1 1 1 1 4X 1 1 0 3X 1 0 1 0 3X 2X X 1 3X+2 3X+3 3X+1 2X+1 4X+1 3X+4 2 2X+4 X+3 3 1 X+4 4X+2 1 X+3 4X+3 0 1 4 2 2X+2 1 1 3X+4 2X+4 4X+1 1 4X+4 2X+3 3X+2 2X+3 4X+3 2X+2 2 2X+2 2X 1 1 3X+3 3X 2X+3 X 4X 3X+2 1 3X+4 3X 4X+4 1 X+4 3 3X+1 4X+3 0 2X+4 2X 4X+1 4X+4 1 4X 3X 3X+1 1 4X+4 4X 2X+1 3X+4 2X+4 0 X+2 4X 4X+2 1 3X+4 3X+1 X 1 2X+2 0 0 1 3X+1 2 4 X+4 3X+4 4X+4 3X+2 3X+3 X X+2 2X+2 3X X+1 4X+3 2 1 0 1 2X X+2 2X+3 X+3 X+4 2X+3 X+1 2X+4 3X 3X+1 3 2X+1 3X+4 2X 4X+1 4X+4 X 4X+4 3X 3X+3 1 3X+2 4X+2 X+3 2X+2 0 3 3X+3 2X+4 4X+2 4 4X+3 1 4X+4 2 2X+2 X+2 1 2X+4 4X+2 X+4 3X+1 4X+3 4 4X+1 3X+2 3X+3 4X 3X 3X 1 2 3 4X+3 2X+4 2X+3 4X+2 X+4 4X+1 2X+2 X 1 1 X+4 generates a code of length 85 over Z5[X]/(X^2) who´s minimum homogenous weight is 329. Homogenous weight enumerator: w(x)=1x^0+820x^329+512x^330+920x^331+580x^332+180x^333+1900x^334+864x^335+960x^336+480x^337+100x^338+1160x^339+636x^340+540x^341+460x^342+120x^343+1260x^344+548x^345+360x^346+240x^347+60x^348+680x^349+284x^350+420x^351+120x^352+20x^353+500x^354+280x^355+300x^356+120x^357+20x^358+180x^359 The gray image is a linear code over GF(5) with n=425, k=6 and d=329. This code was found by Heurico 1.16 in 0.574 seconds.