The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  1  3  1  1  3
 0  1  1  8  7  0  8  1  3  3  7  2  1  4  2  1
 0  0  6  0  3  3  6  6  3  0  6  6  0  3  0  6

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

Homogenous weight enumerator: w(x)=1x^0+112x^30+96x^33+32x^36+2x^48

The gray image is a code over GF(3) with n=48, k=5 and d=30.
This code was found by Heurico 1.16 in 0.000841 seconds.