The generator matrix

 1  0  0  0  1  1  1  1  X  1  1  1  0  X  1 2X  1  0 2X  1  1  1  1  1  X  X  1  X  1 2X  1  0  1
 0  1  0  0  0  X  1 X+1  1 2X  2 2X+2  1  1 2X+1  1  2 2X  1  0  X 2X+1 X+1 2X+1  1  1  0  1 2X+1  1 2X  1 2X+1
 0  0  1  0  0 2X+1  1 2X+2 2X+1 2X+1  X X+2  0 2X+2 X+2 X+2 2X+2  1  1  2  2 2X  2 X+1  2 2X 2X X+2 2X+2  2 2X  1 2X
 0  0  0  1  1 2X+1  X X+1 X+1 2X+2 X+2 2X+1 X+2 X+1 2X+2  0 2X X+1 2X+2 X+1 2X X+2  X X+1 2X+1  0  2  2  X  2 2X X+1  1
 0  0  0  0 2X  0  0  0  0 2X 2X 2X 2X  X  X 2X  X 2X 2X  0 2X 2X  X  X  0 2X  X  0  0  X  X  0  X

generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+522x^56+376x^57+1242x^59+832x^60+2160x^62+1172x^63+2898x^65+1570x^66+3144x^68+1596x^69+2166x^71+722x^72+864x^74+244x^75+114x^77+36x^78+12x^80+4x^81+6x^84+2x^87

The gray image is a linear code over GF(3) with n=99, k=9 and d=56.
This code was found by Heurico 1.16 in 15.8 seconds.