The generator matrix

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

generates a code of length 69 over Z3[X]/(X^3) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+336x^128+254x^129+36x^130+768x^131+468x^132+594x^133+1122x^134+1004x^135+2052x^136+1812x^137+1676x^138+3690x^139+1962x^140+1110x^141+918x^142+486x^143+336x^144+360x^146+116x^147+234x^149+96x^150+138x^152+34x^153+48x^155+6x^156+24x^158+2x^180

The gray image is a linear code over GF(3) with n=621, k=9 and d=384.
This code was found by Heurico 1.16 in 2.24 seconds.