The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  1  1  3  1
 0  1  1  8  7  0  8  1  3  3  7  4  0  3  4
 0  0  6  0  3  3  6  6  3  0  6  3  6  6  0

generates a code of length 15 over Z9 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+76x^27+100x^30+48x^33+16x^36+2x^39

The gray image is a code over GF(3) with n=45, k=5 and d=27.
This code was found by Heurico 1.16 in 0.000567 seconds.