The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 2 2 2 2 1 1 1 1 1 2 2 2 4 0 2 1 4 0 1 1 2 2 4 8 4 8 4 4 4 2 2 2 2 4 1 0 12 0 12 8 4 8 4 0 12 0 12 8 4 8 4 12 0 12 12 0 12 4 4 0 8 8 4 8 4 0 12 8 0 12 4 12 0 12 4 8 8 4 4 4 4 4 4 0 8 8 0 8 0 8 0 0 0 0 8 8 8 8 0 0 0 0 8 8 8 8 0 0 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 0 0 0 8 0 8 8 0 8 8 0 8 0 8 0 0 8 8 8 0 8 8 0 0 0 0 generates a code of length 57 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+7x^56+100x^57+7x^58+12x^61+1x^66 The gray image is a code over GF(2) with n=456, k=7 and d=224. This code was found by Heurico 1.16 in 0.117 seconds.