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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+62x^105+488x^108+810x^111+818x^114+1288x^117+1262x^120+960x^123+602x^126+142x^129+52x^132+34x^135+16x^138+10x^141+6x^144+2x^147+6x^150+2x^153

The gray image is a linear code over GF(3) with n=177, k=8 and d=105.
This code was found by Heurico 1.16 in 0.659 seconds.