The generator matrix

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

generates a code of length 20 over Z27 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+120x^39+54x^40+64x^42+2x^45+2x^51

The gray image is a code over GF(3) with n=180, k=5 and d=117.
This code was found by Heurico 1.16 in 0.00462 seconds.