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

generates a code of length 56 over Z9 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+126x^87+348x^90+596x^93+900x^96+1116x^99+1476x^102+3192x^105+8420x^108+14942x^111+15036x^114+7290x^117+1830x^120+1462x^123+1024x^126+684x^129+312x^132+168x^135+70x^138+30x^141+18x^144+4x^147+2x^150+2x^153

The gray image is a code over GF(3) with n=168, k=10 and d=87.
This code was found by Heurico 1.16 in 77.8 seconds.