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

generates a code of length 36 over Z9 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+162x^51+424x^54+712x^57+1128x^60+2070x^63+5146x^66+11164x^69+15668x^72+12984x^75+5916x^78+1690x^81+998x^84+546x^87+306x^90+86x^93+38x^96+10x^99

The gray image is a code over GF(3) with n=108, k=10 and d=51.
This code was found by Heurico 1.16 in 38.2 seconds.