The generator matrix

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

generates a code of length 22 over Z9 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+12x^39+84x^42+128x^45+6x^48+6x^51+4x^54+2x^63

The gray image is a code over GF(3) with n=66, k=5 and d=39.
This code was found by Heurico 1.16 in 0.00198 seconds.