The generator matrix

 1  0  1  1  1
 0  1  7 21  0
 0  0  9 18  9

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

Homogenous weight enumerator: w(x)=1x^0+22x^6+18x^7+198x^8+80x^9+1368x^10+396x^11+84x^12+18x^13+2x^15

The gray image is a code over GF(3) with n=45, k=7 and d=18.
This code was found by Heurico 1.16 in 0.000394 seconds.