The generator matrix

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

generates a code of length 72 over Z3[X]/(X^2) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+426x^128+384x^129+1596x^131+994x^132+2856x^134+1716x^135+4032x^137+2314x^138+5316x^140+2642x^141+6084x^143+3090x^144+6186x^146+3254x^147+5742x^149+2482x^150+3900x^152+1718x^153+2136x^155+672x^156+900x^158+302x^159+174x^161+74x^162+18x^164+14x^165+4x^168+12x^171+4x^174+2x^177+4x^180

The gray image is a linear code over GF(3) with n=216, k=10 and d=128.
This code was found by Heurico 1.16 in 77.7 seconds.