The generator matrix 1 1 2 1 1 2 1 0 2 2 0 0 0 0 0 0 4 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 generates a code of length 7 over Z16 who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+53x^2+68x^3+347x^4+752x^5+2671x^6+8600x^7+2671x^8+752x^9+347x^10+68x^11+53x^12+1x^14 The gray image is a code over GF(2) with n=56, k=14 and d=8. This code was found by Heurico 1.16 in 0.0381 seconds.