The generator matrix

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

generates a code of length 17 over Z9 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+72x^28+156x^29+72x^30+276x^31+264x^32+64x^33+306x^34+324x^35+62x^36+216x^37+204x^38+34x^39+102x^40+24x^41+8x^42+2x^48

The gray image is a code over GF(3) with n=51, k=7 and d=28.
This code was found by Heurico 1.13 in 0.016 seconds.