The generator matrix

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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+210x^103+288x^104+626x^105+798x^106+1062x^107+1368x^108+1836x^109+1500x^110+2100x^111+2754x^112+2202x^113+2694x^114+3270x^115+2970x^116+3302x^117+3870x^118+3180x^119+3584x^120+3486x^121+2736x^122+2912x^123+3066x^124+2178x^125+1940x^126+1668x^127+1008x^128+958x^129+678x^130+264x^131+158x^132+210x^133+90x^134+36x^135+24x^136+18x^137+4x^144

The gray image is a linear code over GF(3) with n=177, k=10 and d=103.
This code was found by Heurico 1.16 in 45.1 seconds.