The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9 12  7 13  6 10 18

generates a code of length 19 over Z27 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+116x^36+180x^37+108x^38+230x^39+90x^40+4x^48

The gray image is a code over GF(3) with n=171, k=6 and d=108.
This code was found by Heurico 1.16 in 0.00118 seconds.