The generator matrix

 1  0  1  1  1  1  1
 0  1  1  0  0  0  0
 0  0  2  0  0  0  2
 0  0  0  2  0  0  2
 0  0  0  0  2  0  2
 0  0  0  0  0  2  2
 0  0  0  0  0  0  4

generates a code of length 7 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+99x^2+80x^3+1361x^4+960x^5+8779x^6+10208x^7+8779x^8+960x^9+1361x^10+80x^11+99x^12+1x^14

The gray image is a code over GF(2) with n=28, k=15 and d=4.
This code was found by Heurico 1.16 in 0.26 seconds.