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

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+258x^103+246x^104+606x^105+822x^106+1020x^107+1378x^108+1818x^109+1686x^110+2080x^111+2670x^112+2214x^113+2780x^114+3144x^115+2892x^116+3274x^117+3702x^118+3036x^119+3620x^120+3936x^121+2988x^122+2838x^123+2964x^124+1890x^125+1940x^126+1740x^127+1086x^128+916x^129+690x^130+366x^131+200x^132+90x^133+66x^134+38x^135+30x^136+6x^137+8x^138+6x^139+2x^141+2x^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 56.3 seconds.