The generator matrix

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

generates a code of length 79 over Z3[X]/(X^2) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+262x^147+998x^150+1118x^153+1122x^156+932x^159+714x^162+502x^165+406x^168+304x^171+128x^174+56x^177+14x^180+2x^186+2x^192

The gray image is a linear code over GF(3) with n=237, k=8 and d=147.
This code was found by Heurico 1.16 in 0.837 seconds.