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

generates a code of length 35 over Z9 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+66x^51+224x^54+346x^57+490x^60+162x^62+604x^63+1296x^65+752x^66+3888x^68+842x^69+5184x^71+946x^72+2592x^74+784x^75+652x^78+430x^81+264x^84+108x^87+36x^90+14x^93+2x^96

The gray image is a code over GF(3) with n=105, k=9 and d=51.
This code was found by Heurico 1.16 in 4.56 seconds.