The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  3  1  1  1  1
 0  1  1  8  0  1  8  1  0  0  0  3  7  7  3  0
 0  0  6  0  0  0  0  3  3  3  6  6  6  6  6  0
 0  0  0  3  0  0  3  6  6  0  6  6  3  6  6  0
 0  0  0  0  3  0  6  6  3  6  0  6  3  6  3  0
 0  0  0  0  0  6  3  6  3  3  3  0  3  0  3  3

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

Homogenous weight enumerator: w(x)=1x^0+26x^21+42x^22+76x^24+138x^25+108x^26+114x^27+534x^28+648x^29+100x^30+828x^31+1296x^32+136x^33+888x^34+864x^35+172x^36+438x^37+82x^39+48x^40+4x^42+10x^45+8x^48

The gray image is a code over GF(3) with n=48, k=8 and d=21.
This code was found by Heurico 1.16 in 0.0729 seconds.