The generator matrix 1 0 1 1 1 1 2X^2+X 1 1 2X 1 1 1 0 1 1 X 1 2X^2 2X^2+2X 1 1 1 1 1 1 2X 1 1 1 1 1 1 X^2+X X 1 2X^2+2X 1 1 1 1 1 1 1 1 1 1 1 X 2X^2 0 1 1 2 2X^2+X 2X^2+X+2 1 2X 2X+2 1 2X^2+2X+1 X+1 0 1 2X 2X+1 1 X+2 1 1 2X^2+X+1 1 2X^2+2 2X^2+X X+2 2X^2+2X+2 1 2X^2+2 2X^2+2X+2 2X^2+2X+1 2X^2+2X+2 2X^2+X+1 X+2 1 1 2X+2 1 2X^2+2X+1 2X+2 X+1 X^2+2X+1 2X^2+2 2X^2+2X+1 2X^2+2X 2X^2+2 X^2+1 2X 2X 2X^2+2X X 0 0 2X 0 2X^2 2X^2 2X^2 0 2X^2 2X^2 2X^2+2X 2X X^2+2X 2X X^2+2X X 2X^2+X 2X^2+X 2X^2+X X^2+X X X^2+X 2X^2+X 2X^2+2X X^2+X 2X^2+X 2X^2+2X X^2+X 2X^2+X 2X^2 2X^2 X^2+X X^2 X^2 X^2+X 2X X^2+X X^2+2X 2X 0 X 2X X^2+2X 2X^2+X 2X^2 X 2X^2+2X X^2+2X X^2+2X X^2+X 0 0 0 X^2 X^2 0 2X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 X^2 0 2X^2 2X^2 X^2 X^2 0 0 X^2 2X^2 X^2 0 X^2 X^2 0 2X^2 X^2 0 X^2 X^2 X^2 0 2X^2 2X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 2X^2 2X^2 2X^2 generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+442x^93+534x^94+960x^95+1648x^96+882x^97+1596x^98+3214x^99+1446x^100+1920x^101+2928x^102+1152x^103+1182x^104+1072x^105+306x^106+150x^107+72x^108+30x^109+6x^110+74x^111+24x^112+18x^113+22x^114+2x^117+2x^126 The gray image is a linear code over GF(3) with n=450, k=9 and d=279. This code was found by Heurico 1.16 in 1.33 seconds.