The generator matrix

 1  0  1  1  1  4  1
 0  1  1  4  3  1  2
 0  0  2  6  4  6  2

generates a code of length 7 over Z8 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+26x^5+66x^6+78x^7+55x^8+22x^9+6x^10+2x^11

The gray image is a code over GF(2) with n=28, k=8 and d=10.
This code was found by Heurico 1.16 in 0.000337 seconds.