The generator matrix 1 1 1 1 2 1 1 0 12 0 0 12 0 0 0 0 12 0 12 0 0 0 0 0 12 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+31x^2+221x^4+1283x^6+5120x^7+1283x^8+221x^10+31x^12+1x^14 The gray image is a code over GF(2) with n=56, k=13 and d=8. This code was found by Heurico 1.16 in 0.0124 seconds.