The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  1  1  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7 12 13  6 10  8 18

generates a code of length 20 over Z27 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+102x^38+218x^39+90x^40+204x^41+110x^42+2x^48+2x^51

The gray image is a code over GF(3) with n=180, k=6 and d=114.
This code was found by Heurico 1.16 in 0.00136 seconds.