The generator matrix

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

generates a code of length 58 over Z3[X]/(X^3) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+164x^108+336x^109+426x^110+1018x^111+1842x^112+1062x^113+1762x^114+2562x^115+1410x^116+2030x^117+2772x^118+1152x^119+1274x^120+1068x^121+270x^122+196x^123+156x^124+12x^125+46x^126+6x^127+24x^128+34x^129+6x^130+18x^131+26x^132+6x^135+2x^141+2x^147

The gray image is a linear code over GF(3) with n=522, k=9 and d=324.
This code was found by Heurico 1.16 in 1.03 seconds.