The generator matrix

 1  1  1  1  1
 0  3 24  0  9
 0  0  9  9 18

generates a code of length 5 over Z27 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+4x^6+18x^7+36x^8+8x^9+558x^10+72x^11+12x^12+18x^13+2x^15

The gray image is a code over GF(3) with n=45, k=6 and d=18.
This code was found by Heurico 1.16 in 0.000148 seconds.