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

generates a code of length 75 over Z3[X]/(X^3) who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+66x^151+2x^153+6x^154+6x^159

The gray image is a linear code over GF(3) with n=675, k=4 and d=453.
This code was found by Heurico 1.16 in 0.152 seconds.