The generator matrix

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

generates a code of length 32 over Z3[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+42x^42+298x^45+472x^48+848x^51+1226x^54+486x^56+1894x^57+3888x^59+2478x^60+11664x^62+2746x^63+15552x^65+2962x^66+7776x^68+2622x^69+1868x^72+1196x^75+622x^78+252x^81+116x^84+30x^87+8x^90+2x^93

The gray image is a linear code over GF(3) with n=96, k=10 and d=42.
This code was found by Heurico 1.16 in 28.5 seconds.