The generator matrix 1 0 1 1 1 1 2X^2+X 1 1 2X 1 1 1 0 1 1 X 2X^2+2X 2X^2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2X^2+2X 1 1 1 2X^2 1 X^2+X 1 X 0 1 1 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 1 1 2X^2+2 2X^2+2X+2 2X^2+X 2X^2+X+1 2X^2+2 1 X+2 2X^2+2X+2 X+2 2X^2 2X^2+2X+2 X+1 X^2+2 X^2+X+1 2X+1 X+2 0 2X 1 1 X^2+1 X^2+2X 2X^2+2X+2 1 2X^2+2X 1 2X^2+2X+1 2X 2X^2 2X^2+2X+2 X+2 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 X^2+X 2X^2+X X 2X^2+X 2X^2+2X X 2X^2+X X^2+X X^2+X 2X^2+X X X^2+X 0 2X^2+2X X^2 2X^2+X 0 X^2 2X^2 2X^2+2X 2X^2+2X X^2+X X^2 0 2X X^2+X 2X X^2 2X^2+2X 2X^2+2X X 2X X^2+2X 2X^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 0 X^2 X^2 0 X^2 0 2X^2 X^2 0 X^2 2X^2 2X^2 X^2 2X^2 0 X^2 X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 0 0 2X^2 X^2 0 0 2X^2 0 2X^2 X^2 X^2 generates a code of length 51 over Z3[X]/(X^3) who´s minimum homogenous weight is 95. Homogenous weight enumerator: w(x)=1x^0+630x^95+614x^96+702x^97+1416x^98+1618x^99+1188x^100+2754x^101+2080x^102+1458x^103+2634x^104+1784x^105+918x^106+1122x^107+384x^108+108x^109+90x^110+24x^111+66x^113+32x^114+36x^116+22x^117+2x^129 The gray image is a linear code over GF(3) with n=459, k=9 and d=285. This code was found by Heurico 1.16 in 28.2 seconds.