The generator matrix

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

generates a code of length 59 over Z3[X]/(X^3) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+180x^108+402x^109+540x^110+1126x^111+2094x^112+2100x^113+3062x^114+4650x^115+5268x^116+5138x^117+7164x^118+6900x^119+6226x^120+5718x^121+3690x^122+2004x^123+1482x^124+336x^125+312x^126+168x^127+84x^128+98x^129+108x^130+24x^131+64x^132+78x^133+12x^134+12x^135+6x^136+2x^138

The gray image is a linear code over GF(3) with n=531, k=10 and d=324.
This code was found by Heurico 1.16 in 8.4 seconds.