The generator matrix 1 1 1 1 2 1 1 0 2 0 2 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+55x^2+96x^3+533x^4+1152x^5+4019x^6+21056x^7+4019x^8+1152x^9+533x^10+96x^11+55x^12+1x^14 The gray image is a code over GF(2) with n=56, k=15 and d=8. This code was found by Heurico 1.16 in 0.132 seconds.