The generator matrix

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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+306x^111+588x^114+452x^117+336x^120+150x^123+218x^126+62x^129+36x^132+22x^135+14x^138+2x^147

The gray image is a linear code over GF(3) with n=177, k=7 and d=111.
This code was found by Heurico 1.16 in 0.144 seconds.