The generator matrix

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

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+108x^119+30x^120+36x^123+6x^126+54x^128+4x^129+2x^135+2x^156

The gray image is a linear code over GF(3) with n=183, k=5 and d=119.
This code was found by Heurico 1.16 in 0.615 seconds.