The generator matrix 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 12 0 8 0 0 0 0 0 12 8 0 generates a code of length 7 over Z16 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+100x^2+490x^3+974x^4+1944x^5+9933x^6+38652x^7+9933x^8+1944x^9+974x^10+490x^11+100x^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 0.201 seconds.