The generator matrix

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

generates a code of length 16 over Z9 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+10x^30+54x^32+12x^33+2x^36+2x^48

The gray image is a code over GF(3) with n=48, k=4 and d=30.
This code was found by Heurico 1.16 in 0.000417 seconds.