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

generates a code of length 56 over Z9 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+74x^90+242x^93+386x^96+514x^99+882x^102+1648x^105+2706x^108+3708x^111+3890x^114+2814x^117+1336x^120+666x^123+332x^126+224x^129+148x^132+64x^135+32x^138+12x^141+2x^147+2x^153

The gray image is a code over GF(3) with n=168, k=9 and d=90.
This code was found by Heurico 1.16 in 9.4 seconds.