The generator matrix

 1  0  0  1  1  1  2
 0  1  0  1  2  3  1
 0  0  1  2  1  3  3

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

Homogenous weight enumerator: w(x)=1x^0+84x^5+42x^6+280x^7+7x^8+84x^9+14x^10

The gray image is a code over GF(2) with n=28, k=9 and d=10.
This code was found by Heurico 1.11 in 0.000264 seconds.