The generator matrix 1 1 1 1 1 0 2 0 0 12 0 0 2 0 4 0 0 0 2 4 generates a code of length 5 over Z16 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+69x^2+240x^3+954x^4+5664x^5+954x^6+240x^7+69x^8+1x^10 The gray image is a code over GF(2) with n=40, k=13 and d=8. This code was found by Heurico 1.16 in 0.00709 seconds.