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

generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+122x^123+6x^124+116x^126+60x^127+88x^129+240x^130+114x^132+480x^133+4374x^134+64x^135+480x^136+40x^138+192x^139+42x^141+24x^144+18x^147+28x^150+34x^153+14x^156+16x^159+4x^162+2x^165+2x^186

The gray image is a code over GF(3) with n=603, k=8 and d=369.
This code was found by Heurico 1.16 in 55.4 seconds.