The generator matrix

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

generates a code of length 14 over Z9 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+14x^27+54x^28+6x^30+6x^33

The gray image is a code over GF(3) with n=42, k=4 and d=27.
This code was found by Heurico 1.16 in 0.000315 seconds.