The generator matrix

 1  0  0  1  1  1  1  1  1  1 2X^2+2X  1 2X^2  1  1  1  1 2X^2+2X  1 X^2+2X X^2+X  1  X  1  1  1  1 2X^2+X  0  X  1  0  1  1  1  1  1  1  1  1  X X^2  1  1  1  1  1  1 2X^2+X  1  1 2X^2+2X X^2+2X  1  1  1 X^2+X X^2
 0  1  0  0 X^2 2X^2+2X+1  2 2X^2+X+1 X^2+2X+1 2X^2+X+2  1 2X^2+2  1 2X^2 X+1 X^2+X+2 2X  1 X^2+X+2  1 2X^2+X  X  1  1 X^2+1 2X^2+2X+2 2X^2+2X+1  1  1  1  2 2X X+2 X^2+2X 2X^2+X 2X^2+X+1 X+1 2X^2+2 2X 2X^2+2X  1  1 X^2+2X+1 2X^2+2X+2 X+2 X^2+X X^2 2X^2+2 2X^2 X^2+1  X 2X  1 2X^2+1 X^2+2 X^2+1  1 X^2
 0  0  1 2X^2+2X+1 2X^2+2 2X^2+2X X^2 2X^2+2X+1  2 2X^2+X+1 2X^2+2X+1 2X^2+X+2 2X^2+X+2 X^2+X+1 2X+2 2X 2X+2 X^2+X 2X^2+X+2  1  1  X 2X^2+X+2  X X^2+X+1 X^2+1 2X^2 2X+1 2X^2+2X+2  0 X+1  1 X^2 2X^2+2X 2X^2+2 2X^2+X+2 X^2+2 2X^2+X X+2 2X^2+1 X^2+2X+2  X 2X^2+2X+2 X^2 X^2+2X+1 X^2+X+1 2X^2+2X X^2+X  1 2X+2 X^2+X+2  1 X^2+X  1 2X^2  2 X^2+1  1
 0  0  0 2X^2 2X^2  0  0  0  0  0  0  0  0  0 2X^2 2X^2 X^2 2X^2 X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 X^2  0  0  0 2X^2 X^2 2X^2 2X^2  0 2X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2  0 2X^2  0  0  0 X^2 X^2 X^2 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+656x^108+936x^109+1764x^110+4004x^111+3042x^112+3870x^113+6876x^114+4896x^115+5922x^116+7510x^117+4572x^118+4554x^119+4886x^120+2088x^121+1314x^122+1374x^123+504x^124+72x^125+112x^126+74x^129+12x^132+10x^135

The gray image is a linear code over GF(3) with n=522, k=10 and d=324.
This code was found by Heurico 1.16 in 6.53 seconds.