The generator matrix

 1  1  1  1  1  1  2
 0  2  0  0  0  0  6
 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+91x^2+1001x^4+5051x^6+4096x^7+5051x^8+1001x^10+91x^12+1x^14

The gray image is a code over GF(2) with n=28, k=14 and d=4.
This code was found by Heurico 1.16 in 0.0889 seconds.