The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^2+144x^3+860x^4+1104x^5+6136x^6+11040x^7+26822x^8+11040x^9+6136x^10+1104x^11+860x^12+144x^13+72x^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 0.776 seconds.