The generator matrix

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

generates a code of length 20 over Z27 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+118x^33+84x^34+222x^36+138x^37+162x^38+322x^39+4422x^40+324x^41+306x^42+132x^43+194x^45+78x^46+36x^48+6x^49+8x^51+6x^54+2x^57

The gray image is a code over GF(3) with n=180, k=8 and d=99.
This code was found by Heurico 1.16 in 0.0626 seconds.