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  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+44x^2+48x^3+244x^4+240x^5+1172x^6+2784x^7+7318x^8+2784x^9+1172x^10+240x^11+244x^12+48x^13+44x^14+1x^16

The gray image is a code over GF(2) with n=32, k=14 and d=4.
This code was found by Heurico 1.16 in 0.0514 seconds.