The generator matrix

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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+180x^114+388x^117+18x^120+54x^123+64x^126+24x^135

The gray image is a linear code over GF(3) with n=177, k=6 and d=114.
This code was found by Heurico 1.16 in 0.0367 seconds.