The generator matrix

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

generates a code of length 20 over Z27 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+64x^27+168x^30+224x^33+790x^36+2304x^39+13122x^40+2330x^42+334x^45+222x^48+92x^51+26x^54+6x^57

The gray image is a code over GF(3) with n=180, k=9 and d=81.
This code was found by Heurico 1.16 in 0.565 seconds.