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

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+60x^180+54x^182+72x^183+216x^185+216x^188+20x^189+88x^192+2x^273

The gray image is a linear code over GF(3) with n=279, k=6 and d=180.
This code was found by Heurico 1.16 in 0.131 seconds.