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

generates a code of length 56 over Z9 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+132x^96+190x^99+222x^102+414x^105+944x^108+1650x^111+1656x^114+730x^117+160x^120+166x^123+130x^126+70x^129+52x^132+28x^135+4x^138+10x^141+2x^153

The gray image is a code over GF(3) with n=168, k=8 and d=96.
This code was found by Heurico 1.16 in 1.15 seconds.