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  X  X  X  X  X  X  X  X  X  X  1  1  1  1  X  X  1  X  X  X  X  X  1
 0  3  0  0  0  0  3  6  6  0  0  3  3  3  3  3  3  3  0  6  0  6  0  6  0  3  6  3  6  6  0  0  6  3  0  3  3  3  3  0  0  0  3  0  3  0  3  3  3  3  3  6  6  3  3  0  0  3  3  6  6  0  6  6  6  3  6  6
 0  0  3  0  0  3  6  0  6  0  3  3  6  6  0  3  0  3  3  3  3  0  0  6  6  3  3  6  0  6  0  3  3  0  6  6  0  3  0  6  6  6  3  6  6  0  6  6  3  3  0  3  6  0  0  0  0  6  3  0  0  6  6  3  0  6  0  3
 0  0  0  3  0  6  6  3  0  3  3  0  0  3  6  3  3  6  6  0  0  6  6  6  6  6  3  3  0  3  6  3  6  6  3  6  3  0  0  0  3  0  3  6  0  0  6  3  0  6  6  0  6  3  0  0  3  3  0  0  6  6  6  0  6  6  0  6
 0  0  0  0  3  6  6  6  6  6  0  6  0  0  6  6  0  3  0  0  6  6  3  6  3  6  0  6  0  0  6  6  3  0  0  0  6  0  3  3  6  6  3  0  3  3  6  3  3  6  0  3  3  3  3  6  3  3  3  0  0  6  0  6  6  0  6  0

generates a code of length 68 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+118x^129+192x^132+124x^135+1458x^136+124x^138+66x^141+50x^144+28x^147+2x^150+10x^153+8x^159+2x^162+2x^168+2x^171

The gray image is a code over GF(3) with n=612, k=7 and d=387.
This code was found by Heurico 1.16 in 0.15 seconds.