The generator matrix

 1  0  1  1  1  1  1  1 18 21  1  1  0  1  3 24  1  1
 0  1  1 26 18 17 21 25  1  1 20 20  1 23  3  1 22 16
 0  0 24  9 21 12 15  3  3  9  9  6 24 18 21  9  3 15

generates a code of length 18 over Z27 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+54x^31+276x^32+514x^33+708x^34+1092x^35+994x^36+1272x^37+1038x^38+510x^39+30x^40+24x^41+2x^42+42x^43+4x^45

The gray image is a code over GF(3) with n=162, k=8 and d=93.
This code was found by Heurico 1.16 in 0.0276 seconds.