The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+386x^24+216x^25+342x^26+1448x^27+756x^28+738x^29+2602x^30+1296x^31+2052x^32+3824x^33+1566x^34+1062x^35+2352x^36+540x^37+180x^38+310x^39+2x^42+6x^45+4x^48

The gray image is a code over GF(3) with n=48, k=9 and d=24.
This code was found by Heurico 1.16 in 9.77 seconds.