The generator matrix

 1  0  0  1  1  1 15  1  1  1  3  1 21  1 12 15  6  1
 0  1  0  1 15 26  1 19 20 18  1 17  0 11  1  1  1  1
 0  0  1 26 16 26 22 19 21 20 23 19  1  5  4 23  3 15
 0  0  0 24 15  9  3 21  3  6 12 15  6  6  0 15  6 12

generates a code of length 18 over Z27 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+366x^29+1856x^30+1260x^31+6840x^32+8910x^33+17442x^34+25014x^35+41656x^36+33264x^37+25248x^38+12290x^39+1980x^40+792x^41+162x^42+60x^44+4x^45+2x^48

The gray image is a code over GF(3) with n=162, k=11 and d=87.
This code was found by Heurico 1.16 in 251 seconds.