The generator matrix

 1  0  1  1
 0  1  1 18
 0  0 24 21
 0  0  0 18

generates a code of length 4 over Z27 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+8x^3+162x^4+1860x^6+648x^7+12636x^8+3704x^9+648x^10+16x^12

The gray image is a code over GF(3) with n=36, k=9 and d=9.
This code was found by Heurico 1.16 in 0.0105 seconds.