The generator matrix

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

generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+432x^180+198x^183+72x^189+18x^192+6x^198+2x^216

The gray image is a linear code over GF(3) with n=273, k=6 and d=180.
This code was found by Heurico 1.16 in 34.8 seconds.