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

generates a code of length 56 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+44x^99+102x^102+116x^105+54x^106+98x^108+324x^109+64x^111+5022x^112+64x^114+432x^115+54x^117+54x^120+46x^123+16x^126+30x^129+24x^132+12x^135+2x^138+2x^159

The gray image is a code over GF(3) with n=504, k=8 and d=297.
This code was found by Heurico 1.16 in 0.36 seconds.