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

generates a code of length 77 over Z3[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+62x^150+84x^151+84x^152+208x^153+54x^154+48x^155+102x^156+12x^157+30x^158+12x^159+6x^168+10x^171+12x^172+4x^177

The gray image is a linear code over GF(3) with n=231, k=6 and d=150.
This code was found by Heurico 1.16 in 0.0702 seconds.