The generator matrix

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

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+300x^128+402x^129+294x^130+1116x^131+1090x^132+864x^133+1758x^134+1734x^135+1254x^136+2826x^137+2074x^138+1728x^139+3570x^140+2636x^141+2082x^142+3960x^143+3244x^144+2076x^145+4416x^146+3074x^147+1968x^148+3378x^149+2580x^150+1386x^151+2694x^152+1660x^153+954x^154+1434x^155+832x^156+360x^157+558x^158+298x^159+132x^160+210x^161+48x^162+18x^163+24x^164+6x^165+6x^166+2x^174+2x^177

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 73.9 seconds.