The generator matrix 1 1 1 1 1 1 1 0 4 0 0 0 4 0 0 0 4 0 0 4 0 0 0 0 4 0 4 0 0 0 0 0 4 4 0 generates a code of length 7 over Z8 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+10x^4+5x^6+96x^7+5x^8+10x^10+1x^14 The gray image is a code over GF(2) with n=28, k=7 and d=8. This code was found by Heurico 1.16 in 0.000152 seconds.