The generator matrix 1 0 0 1 1 1 1 1 1 1 1 3X 1 1 1 1 1 0 1 0 1 0 0 X 2X 4X 3X+1 3X+4 2 3 1 3X+3 2 1 3X+4 4X+1 1 3X+2 0 0 1 1 3X+2 3 4 3X+3 3X+3 4X+3 3 3X+1 3X+1 0 4 2 X+2 3 4X+1 0 0 0 3X 4X 2X 0 3X 4X X 0 2X X 2X 4X X 3X 2X 3X generates a code of length 19 over Z5[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+260x^64+912x^65+380x^66+1080x^67+100x^68+3120x^69+4324x^70+860x^71+1760x^72+800x^73+12480x^74+11324x^75+2140x^76+5240x^77+1600x^78+16640x^79+11420x^80+1620x^81+1920x^82+80x^85+48x^90+16x^95 The gray image is a linear code over GF(5) with n=95, k=7 and d=64. This code was found by Heurico 1.16 in 1.64 seconds.