The generator matrix

 1  0  0  1  1  1  1  1  1  6  1  1  1  1  1  1
 0  1  0  6  1  7  8  0  2  1  3  1  4  5  3  8
 0  0  1  7  1  6  2  8  6  1  7  4  3  0  8  5

generates a code of length 16 over Z9 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+108x^28+102x^29+28x^30+72x^31+144x^32+48x^33+72x^34+54x^35+72x^37+24x^38+2x^39+2x^45

The gray image is a code over GF(3) with n=48, k=6 and d=28.
This code was found by Heurico 1.16 in 0.0125 seconds.