The generator matrix

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

generates a code of length 59 over Z3[X]/(X^3) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+738x^110+1082x^111+1710x^112+3444x^113+3870x^114+4008x^115+6264x^116+5656x^117+4560x^118+7518x^119+5272x^120+4188x^121+4434x^122+2824x^123+1500x^124+1290x^125+430x^126+48x^127+96x^128+48x^129+24x^130+24x^131+14x^132+6x^134

The gray image is a linear code over GF(3) with n=531, k=10 and d=330.
This code was found by Heurico 1.16 in 6.81 seconds.