The generator matrix

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

generates a code of length 31 over Z3[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+132x^58+156x^59+40x^60+72x^61+66x^62+12x^63+42x^64+72x^65+24x^66+48x^67+6x^68+2x^69+18x^70+24x^71+2x^72+12x^73

The gray image is a linear code over GF(3) with n=93, k=6 and d=58.
This code was found by Heurico 1.16 in 3.27 seconds.