The generator matrix 1 0 1 2 1 1 1 0 1 1 0 0 0 0 0 0 2 2 0 0 0 0 0 0 4 0 4 0 0 0 0 0 12 4 0 0 0 0 0 0 8 0 generates a code of length 7 over Z16 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+85x^2+324x^3+1147x^4+2928x^5+11567x^6+33432x^7+11567x^8+2928x^9+1147x^10+324x^11+85x^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 0.255 seconds.