The generator matrix

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

generates a code of length 32 over Z3[X]/(X^2) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+158x^51+156x^52+324x^53+892x^54+822x^55+1134x^56+2292x^57+1866x^58+2280x^59+3872x^60+3378x^61+3750x^62+5226x^63+4404x^64+4812x^65+5650x^66+4134x^67+3438x^68+4166x^69+2190x^70+1542x^71+1470x^72+498x^73+210x^74+280x^75+48x^76+6x^77+26x^78+16x^81+4x^84+2x^87+2x^96

The gray image is a linear code over GF(3) with n=96, k=10 and d=51.
This code was found by Heurico 1.16 in 18.5 seconds.