The generator matrix 1 1 1 1 2 1 0 4 0 0 4 0 0 0 4 0 4 0 0 0 0 4 4 0 generates a code of length 6 over Z8 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+6x^4+8x^5+36x^6+8x^7+1x^8+4x^10 The gray image is a code over GF(2) with n=24, k=6 and d=8. This code was found by Heurico 1.16 in 0.000101 seconds.