The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  1  1  1
 0  9 18  0  9 18  0  9 18  0  9 18  9 18  0  9 18  0  9

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

Homogenous weight enumerator: w(x)=1x^0+12x^37+54x^38+4x^39+6x^40+2x^42+2x^51

The gray image is a code over GF(3) with n=171, k=4 and d=111.
This code was found by Heurico 1.16 in 0.00107 seconds.