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.