The generator matrix

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

generates a code of length 15 over Z9 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+58x^21+168x^22+312x^23+414x^24+900x^25+1200x^26+1126x^27+1830x^28+2304x^29+1702x^30+2820x^31+2694x^32+1500x^33+1440x^34+780x^35+284x^36+132x^37+4x^39+12x^42+2x^45

The gray image is a code over GF(3) with n=45, k=9 and d=21.
This code was found by Heurico 1.13 in 0.281 seconds.