The generator matrix

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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+150x^108+144x^109+294x^110+430x^111+384x^112+336x^113+492x^114+348x^115+366x^116+464x^117+390x^118+306x^119+402x^120+258x^121+264x^122+252x^123+168x^124+204x^125+204x^126+108x^127+102x^128+200x^129+96x^130+66x^131+54x^132+42x^133+6x^134+24x^135+6x^136

The gray image is a linear code over GF(3) with n=177, k=8 and d=108.
This code was found by Heurico 1.16 in 0.51 seconds.