The generator matrix 1 0 0 1 1 1 1 1 1 0 1 1 2X 1 1 2X 1 1 X X 1 0 1 1 1 1 1 1 1 1 2X 1 2X 0 1 0 0 0 2X+1 1 2 2X+1 1 2X+2 2 1 X X+1 1 2X+1 2X 1 1 X+2 1 X+2 X+2 2 1 X+2 X+1 2 0 1 2X 1 0 0 1 1 2 2X+2 1 2 2X 2 2X+1 0 2X+1 2X X 2X 2X+1 X+1 1 0 2 2 0 X+1 2X 2 2X+1 1 0 2X X+1 X+1 2X+1 0 0 0 2X 0 0 X X 0 X X 0 2X X X 2X X X 2X X 2X 2X 2X 0 X 0 0 2X X X X X X 0 0 0 0 X X 2X X 2X 0 0 2X 2X 0 X 0 X 2X 0 2X 0 2X 2X X 2X 0 2X X 0 X 0 0 X generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+112x^57+258x^58+150x^59+364x^60+504x^61+264x^62+404x^63+546x^64+360x^65+462x^66+648x^67+372x^68+392x^69+612x^70+258x^71+298x^72+300x^73+54x^74+128x^75+48x^76+16x^78+8x^81+2x^87 The gray image is a linear code over GF(3) with n=99, k=8 and d=57. This code was found by Heurico 1.16 in 0.281 seconds.