The generator matrix

 1  0  1  1  1
 0  1  7  0  0
 0  0  9  0  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+72x^4+40x^6+432x^7+1296x^8+80x^9+14472x^10+2592x^11+80x^12+576x^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 0.0113 seconds.