The generator matrix

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

generates a code of length 32 over Z3[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+360x^50+546x^51+2400x^53+2160x^54+7074x^56+4682x^57+15354x^59+9522x^60+26034x^62+13992x^63+31932x^65+14404x^66+22572x^68+9288x^69+9852x^71+3678x^72+2358x^74+672x^75+162x^77+84x^78+14x^81+4x^84+2x^93

The gray image is a linear code over GF(3) with n=96, k=11 and d=50.
This code was found by Heurico 1.16 in 242 seconds.