The generator matrix

 1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1
 0  3  0  0  0  0  3  6  6  0  3  0  3  3  3  0  3
 0  0  3  0  0  3  6  0  6  0  3  3  6  0  6  6  0
 0  0  0  3  0  6  6  3  0  3  3  6  6  0  0  6  6
 0  0  0  0  3  6  6  6  6  6  6  0  0  6  0  6  6

generates a code of length 17 over Z9 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+34x^27+58x^30+162x^32+52x^33+324x^35+36x^36+26x^39+20x^42+10x^45+6x^48

The gray image is a code over GF(3) with n=51, k=6 and d=27.
This code was found by Heurico 1.16 in 0.00315 seconds.