The generator matrix

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

generates a code of length 31 over Z3[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+158x^42+416x^45+748x^48+1118x^51+1590x^54+2168x^57+4374x^58+2790x^60+17496x^61+3040x^63+17496x^64+2916x^66+2056x^69+1384x^72+764x^75+346x^78+128x^81+46x^84+12x^87+2x^90

The gray image is a linear code over GF(3) with n=93, k=10 and d=42.
This code was found by Heurico 1.16 in 28.7 seconds.