The generator matrix

 1  1  1  1  1  1  1  1  1  1  3  3  1  1  1  3  3  0  9
 0  3 24  9 21  6 18 12 15  0 21 24 21  9 12 12  6  3  3

generates a code of length 19 over Z27 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+132x^37+36x^38+2x^39+66x^40+4x^42+2x^48

The gray image is a code over GF(3) with n=171, k=5 and d=111.
This code was found by Heurico 1.16 in 0.00179 seconds.