The generator matrix

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

generates a code of length 16 over Z9 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+584x^24+2238x^27+5208x^30+7280x^33+3886x^36+462x^39+20x^42+4x^45

The gray image is a code over GF(3) with n=48, k=9 and d=24.
This code was found by Heurico 1.13 in 0.438 seconds.