The generator matrix

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

generates a code of length 58 over Z3[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+330x^105+756x^108+726x^111+1262x^114+1264x^117+1020x^120+818x^123+250x^126+36x^129+54x^132+20x^135+16x^141+2x^144+4x^150+2x^153

The gray image is a linear code over GF(3) with n=174, k=8 and d=105.
This code was found by Heurico 1.16 in 8.97 seconds.