The generator matrix 1 1 2 1 1 1 1 0 2 2 0 0 0 0 0 0 4 0 4 0 0 0 0 0 12 4 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+39x^2+32x^3+293x^4+192x^5+3251x^6+8768x^7+3251x^8+192x^9+293x^10+32x^11+39x^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 0.039 seconds.