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

generates a code of length 51 over Z9 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+202x^87+200x^90+30x^91+126x^93+180x^94+318x^96+540x^97+198x^99+1110x^100+146x^102+1386x^103+244x^105+864x^106+222x^108+264x^109+144x^111+182x^114+94x^117+66x^120+24x^123+12x^126+4x^129+2x^132+2x^135

The gray image is a code over GF(3) with n=153, k=8 and d=87.
This code was found by Heurico 1.16 in 1.62 seconds.