The generator matrix

 1  0  1  1  1  1  1  1
 0  1  3  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+20x^2+100x^4+236x^6+768x^7+1846x^8+768x^9+236x^10+100x^12+20x^14+1x^16

The gray image is a code over GF(2) with n=32, k=12 and d=4.
This code was found by Heurico 1.16 in 0.00458 seconds.