The generator matrix

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

generates a code of length 58 over Z3[X]/(X^2) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+252x^108+444x^111+418x^114+354x^117+318x^120+252x^123+96x^126+30x^129+12x^132+2x^135+2x^141+6x^144

The gray image is a linear code over GF(3) with n=174, k=7 and d=108.
This code was found by Heurico 1.16 in 0.161 seconds.