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 1 2X 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 3X+1 3X+2 1 X+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 4X X 3X+2 X+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+448x^330+960x^331+460x^332+520x^333+1820x^334+572x^335+1060x^336+440x^337+360x^338+1260x^339+312x^340+840x^341+200x^342+300x^343+1240x^344+272x^345+420x^346+180x^347+180x^348+680x^349+296x^350+400x^351+80x^352+100x^353+560x^354+224x^355+320x^356+140x^357+40x^358+120x^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 0.572 seconds.