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

generates a code of length 34 over Z9 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+130x^54+220x^57+374x^60+810x^63+1406x^66+1654x^69+1072x^72+526x^75+178x^78+116x^81+60x^84+8x^87+4x^90+2x^93

The gray image is a code over GF(3) with n=102, k=8 and d=54.
This code was found by Heurico 1.16 in 1.55 seconds.