The generator matrix

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

generates a code of length 8 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+93x^2+300x^3+1126x^4+2172x^5+4883x^6+13912x^7+20562x^8+13912x^9+4883x^10+2172x^11+1126x^12+300x^13+93x^14+1x^16

The gray image is a code over GF(2) with n=32, k=16 and d=4.
This code was found by Heurico 1.16 in 0.693 seconds.