The generator matrix

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

generates a code of length 16 over Z9 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+138x^21+90x^22+294x^23+734x^24+684x^25+1140x^26+2578x^27+2574x^28+3876x^29+6490x^30+6120x^31+6258x^32+8486x^33+6120x^34+4854x^35+4916x^36+1800x^37+1038x^38+676x^39+108x^40+36x^41+32x^42+2x^45+4x^48

The gray image is a code over GF(3) with n=48, k=10 and d=21.
This code was found by Heurico 1.16 in 4.89 seconds.