The generator matrix

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

generates a code of length 16 over Z9 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+136x^18+238x^21+390x^24+890x^27+1422x^30+13122x^32+1272x^33+1074x^36+762x^39+282x^42+86x^45+8x^48

The gray image is a code over GF(3) with n=48, k=9 and d=18.
This code was found by Heurico 1.16 in 0.619 seconds.