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

generates a code of length 79 over Z3[X]/(X^2) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+36x^154+102x^155+168x^156+102x^157+126x^158+26x^159+90x^161+28x^162+12x^163+6x^164+6x^172+12x^174+6x^175+4x^177+4x^180

The gray image is a linear code over GF(3) with n=237, k=6 and d=154.
This code was found by Heurico 1.13 in 0.118 seconds.