The generator matrix 1 1 1 1 2 2 2 0 2 0 6 6 14 8 0 0 12 0 0 8 4 0 0 0 12 0 4 8 0 0 0 0 8 0 8 generates a code of length 7 over Z16 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+109x^4+160x^5+904x^6+1728x^7+939x^8+160x^9+88x^10+7x^12 The gray image is a code over GF(2) with n=56, k=12 and d=16. This code was found by Heurico 1.16 in 0.00644 seconds.