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

generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+132x^129+206x^132+212x^135+270x^138+632x^141+1520x^144+1858x^147+1008x^150+164x^153+138x^156+146x^159+92x^162+72x^165+50x^168+30x^171+14x^174+10x^177+4x^180+2x^207

The gray image is a linear code over GF(3) with n=219, k=8 and d=129.
This code was found by Heurico 1.16 in 7.06 seconds.