The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 X 1 2X 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 2X 1 0 1 0 0 2X 0 2X 1 X+1 1 2X+1 X+2 1 X+1 1 2 1 2X+1 2X+1 2X+2 X+2 2 X+2 2X+2 X X+2 0 2X+2 0 2 1 1 X 0 0 1 0 2X+1 2X 2 X+2 X+1 2X+2 X+2 2 X+1 2X 2X+1 0 2X X 1 2X 1 2X+1 X+1 X+2 0 0 X+1 2X+2 2X+2 2X+1 2X+1 2X X 0 0 0 1 2X+2 2X+1 2 1 2X X+2 2X X+2 2X+1 0 2X+2 2X 2X+1 1 X+2 2 X 2X+1 2X+2 X 2X+1 1 X+1 2X+2 X 1 X 1 2X 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+128x^57+138x^58+180x^59+610x^60+222x^61+282x^62+700x^63+366x^64+288x^65+780x^66+246x^67+390x^68+722x^69+276x^70+222x^71+530x^72+174x^73+90x^74+154x^75+30x^76+6x^77+18x^78+6x^79+2x^81 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.