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

generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 146.

Homogenous weight enumerator: w(x)=1x^0+54x^146+44x^147+216x^148+150x^149+20x^150+48x^151+102x^152+48x^154+12x^155+2x^156+12x^166+6x^167+10x^168+2x^171+2x^174

The gray image is a linear code over GF(3) with n=225, k=6 and d=146.
This code was found by Heurico 1.16 in 0.0683 seconds.