The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 2 1 2 2 2 1 1 1 1 1 2 4 0 2 1 4 0 1 1 2 2 4 4 4 4 2 2 8 8 4 2 2 2 1 1 1 0 12 0 12 8 4 8 4 0 12 0 12 8 4 8 4 0 12 12 12 0 12 4 8 4 0 8 4 8 4 0 12 12 12 4 12 8 12 4 0 8 0 8 0 8 4 4 4 4 4 4 8 0 8 0 12 4 0 0 0 8 8 8 8 0 0 0 0 8 8 8 8 0 0 0 0 8 8 8 0 8 8 0 8 8 8 0 0 0 0 8 0 8 0 0 8 0 8 8 0 0 8 8 8 0 8 0 8 0 0 8 8 0 8 8 0 generates a code of length 58 over Z16 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+28x^57+69x^58+8x^59+2x^60+12x^61+6x^62+1x^64+1x^66 The gray image is a code over GF(2) with n=464, k=7 and d=228. This code was found by Heurico 1.16 in 0.125 seconds.