The generator matrix

 1  1  1  1  1
 0  3  0 21  0
 0  0  3  6  0
 0  0  0  9  0
 0  0  0  0  9

generates a code of length 5 over Z27 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+10x^3+54x^4+256x^6+324x^7+486x^8+944x^9+15228x^10+972x^11+944x^12+432x^13+32x^15

The gray image is a code over GF(3) with n=45, k=9 and d=9.
This code was found by Heurico 1.16 in 0.0196 seconds.