The generator matrix 1 1 1 1 1 0 2 0 0 8 0 0 12 0 0 0 0 0 12 0 0 0 0 0 4 generates a code of length 5 over Z16 who´s minimum homogenous weight is 1. Homogenous weight enumerator: w(x)=1x^0+14x^1+77x^2+232x^3+690x^4+6164x^5+690x^6+232x^7+77x^8+14x^9+1x^10 The gray image is a code over GF(2) with n=40, k=13 and d=4. This code was found by Heurico 1.16 in 0.00357 seconds.