The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1 24  3  1  1  1 18  1
 0  1  0 15  1 16 17  2  0 23  4 10 23  1  3  7 26  9  6  9
 0  0  1 25  1 15 20  3 23  4 26 16 26  4  1  2  8 22  1 18
 0  0  0 18 18  9  9  9 18  0  9  0 18  9  9 18  0  9  0  9

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

Homogenous weight enumerator: w(x)=1x^0+122x^33+414x^34+1134x^35+2516x^36+2484x^37+6360x^38+8440x^39+11826x^40+11754x^41+8730x^42+3204x^43+1638x^44+318x^45+54x^46+12x^47+38x^48+4x^51

The gray image is a code over GF(3) with n=180, k=10 and d=99.
This code was found by Heurico 1.16 in 1.74 seconds.