The generator matrix

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

generates a code of length 17 over Z9 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+22x^30+30x^33+162x^34+8x^36+14x^39+4x^42+2x^51

The gray image is a code over GF(3) with n=51, k=5 and d=30.
This code was found by Heurico 1.16 in 0.00119 seconds.