The generator matrix

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

generates a code of length 13 over Z9 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+260x^21+702x^24+728x^27+494x^30+2x^39

The gray image is a code over GF(3) with n=39, k=7 and d=21.
This code was found by Heurico 1.16 in 0.412 seconds.