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

generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+36x^148+84x^149+168x^150+156x^151+54x^152+28x^153+120x^154+12x^155+26x^156+12x^157+12x^168+12x^170+4x^171+4x^174

The gray image is a linear code over GF(3) with n=228, k=6 and d=148.
This code was found by Heurico 1.16 in 0.0804 seconds.