The generator matrix

 1  0  0  0  1  1  1  0
 0  1  0  0  2  1  3  1
 0  0  1  0  3  1  6  1
 0  0  0  1  1  6  3  1
 0  0  0  0  4  0  0  4
 0  0  0  0  0  4  0  4
 0  0  0  0  0  0  4  4

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

Homogenous weight enumerator: w(x)=1x^0+204x^4+1280x^5+2240x^6+8960x^7+7398x^8+8960x^9+2240x^10+1280x^11+204x^12+1x^16

The gray image is a code over GF(2) with n=32, k=15 and d=8.
This code was found by Heurico 1.16 in 0.426 seconds.