The generator matrix 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 X 1 1 1 1 3X 1 1 1 1 1 1 1 1 4X 1 1 1 0 1 1 1 1 1 1 1 1 X X 1 4X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4X 1 1 2X 1 X 1 1 1 1 3X 1 1 1 1 1 1 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 4X+1 X+2 X+3 1 4X+1 X+2 X 4X+4 1 2X 3X+3 3X+1 4X+4 X 1 3 3X+1 1 2X+2 0 2X+4 1 2X+2 4X+4 2X+3 X+4 1 2X+3 1 4X 1 1 3X+2 1 2X+3 4X+3 3X+4 X+2 2X 2X 4X+2 3X+1 2 4 2X+1 2X+2 4X+1 4X+3 1 4X 4X+4 1 4X+4 1 2X+2 X 4X 2X+4 1 X+2 4 2X+4 4X+1 X+2 4X+1 X+2 1 3X+4 0 0 3X 0 3X 2X 0 4X 2X 4X X 3X 2X 0 3X 3X 3X 0 X 0 X 0 4X 2X 4X 2X 2X X 3X 0 2X 2X 0 4X 4X 4X 3X 4X 2X 2X 4X X 4X X X 2X 2X 3X X 3X 4X 4X 0 0 4X 3X 3X X X X 2X X 0 X 4X 2X 2X 4X X 0 3X 0 0 3X 4X 3X 4X 2X 0 4X 2X 3X 2X X X 3X 0 0 0 X 3X X 2X 3X 0 2X 3X X 2X 3X X 3X 4X 2X X 4X 2X 4X 4X 4X 2X X 3X 4X 2X 4X 2X 4X 3X 3X X 3X 4X 0 3X 0 4X 0 X X 0 3X 4X 2X 4X 0 0 0 X 2X 0 0 X 0 4X 3X 3X 2X X X 3X 2X 2X X 4X 2X X 3X 3X 4X 4X 2X X 2X 2X 3X X 3X 3X 0 4X 0 generates a code of length 86 over Z5[X]/(X^2) who´s minimum homogenous weight is 330. Homogenous weight enumerator: w(x)=1x^0+428x^330+220x^332+300x^333+2216x^335+620x^337+800x^338+2380x^340+440x^342+260x^343+1876x^345+560x^347+520x^348+1976x^350+480x^352+480x^353+1360x^355+180x^357+140x^358+324x^360+24x^365+8x^370+12x^375+12x^380+4x^385+4x^405 The gray image is a linear code over GF(5) with n=430, k=6 and d=330. This code was found by Heurico 1.16 in 0.714 seconds.