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 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+68x^2+234x^3+494x^4+1176x^5+5837x^6+17148x^7+5837x^8+1176x^9+494x^10+234x^11+68x^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 0.0641 seconds.