The generator matrix

 1  0  0  1  1  1  1  1
 0  1  0  1  6  4  6  0
 0  0  1  1  3  1  3  0
 0  0  0  4  0  4  4  0
 0  0  0  0  4  4  4  0

generates a code of length 8 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+26x^4+108x^5+160x^6+468x^7+522x^8+468x^9+160x^10+108x^11+26x^12+1x^16

The gray image is a code over GF(2) with n=32, k=11 and d=8.
This code was found by Heurico 1.16 in 0.00308 seconds.