The generator matrix 1 1 1 1 2 2 2 0 12 0 4 0 8 0 0 0 12 4 12 4 0 0 0 0 8 0 8 8 0 0 0 0 8 8 8 generates a code of length 7 over Z16 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+42x^4+32x^5+85x^6+704x^7+85x^8+32x^9+42x^10+1x^14 The gray image is a code over GF(2) with n=56, k=10 and d=16. This code was found by Heurico 1.16 in 0.000915 seconds.