The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 2X 1 X 2X X 1 0 1 1 1 1 1 1 1 2X 2X 1 1 0 1 0 0 2X 0 X X 1 2 X+2 X+1 2 X+1 1 1 X+2 1 1 1 2X+1 1 2X+2 2X 2X+2 1 X+1 2X+2 X 1 1 2X 2X+1 0 0 1 0 0 X 2X+1 2 2 X+2 2X 2X 2X+2 1 2X+2 2X+2 X+1 X X+2 2X+1 2 1 2X+1 X+1 2 1 0 2X 2X+2 0 1 2 2X+1 0 0 0 1 2X+1 2X+2 2X+1 1 X+1 2X X+2 2X+2 X+1 X+2 2X 1 2 2X+1 2 X+2 X+2 X 0 X+2 2 2X+1 2X X+1 0 2X+2 X 2X+2 0 generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+252x^58+408x^59+116x^60+486x^61+588x^62+168x^63+672x^64+534x^65+170x^66+600x^67+690x^68+154x^69+474x^70+438x^71+92x^72+354x^73+222x^74+28x^75+66x^76+36x^77+12x^79 The gray image is a linear code over GF(3) with n=99, k=8 and d=58. This code was found by Heurico 1.16 in 61.8 seconds.