The generator matrix 1 0 1 2 2 1 1 0 1 1 0 0 0 0 0 0 2 2 0 0 0 0 0 0 4 12 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 generates a code of length 7 over Z16 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+71x^2+224x^3+805x^4+2560x^5+13971x^6+30272x^7+13971x^8+2560x^9+805x^10+224x^11+71x^12+1x^14 The gray image is a code over GF(2) with n=56, k=16 and d=8. This code was found by Heurico 1.16 in 0.275 seconds.