The generator matrix

 1  0  0  0  1
 0  1  0  0  7
 0  0  1  0  5
 0  0  0  1  5

generates a code of length 5 over Z9 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+60x^4+200x^6+360x^7+810x^8+740x^9+1530x^10+1620x^11+750x^12+480x^13+10x^15

The gray image is a code over GF(3) with n=15, k=8 and d=4.
This code was found by Heurico 1.13 in -1.01e-007 seconds.