The generator matrix

 1  0  0  1  2  1  1  1
 0  1  0  1  0  0  0  0
 0  0  1  1  0  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  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+56x^2+96x^3+428x^4+800x^5+2760x^6+7296x^7+9894x^8+7296x^9+2760x^10+800x^11+428x^12+96x^13+56x^14+1x^16

The gray image is a code over GF(2) with n=32, k=15 and d=4.
This code was found by Heurico 1.16 in 0.199 seconds.