The generator matrix

 1  1  1  1  1  1  1  1
 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  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+8x^2+28x^4+56x^6+838x^8+56x^10+28x^12+8x^14+1x^16

The gray image is a code over GF(2) with n=32, k=10 and d=4.
This code was found by Heurico 1.16 in 0.00087 seconds.