The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+420x^33+90x^34+72x^35+1834x^36+540x^37+1404x^38+3672x^39+3024x^40+2808x^41+3792x^42+720x^43+90x^44+1108x^45+108x^48

The gray image is a code over GF(3) with n=180, k=9 and d=99.
This code was found by Heurico 1.16 in 0.472 seconds.