The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1 2 1 2 4 2 2 4 4 2 8 0 4 8 1 0 8 0 8 0 8 0 8 0 8 0 8 8 0 8 8 0 0 8 8 0 8 8 0 8 0 0 8 8 0 0 0 generates a code of length 32 over Z16 who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+1x^32+28x^33+2x^34 The gray image is a code over GF(2) with n=256, k=5 and d=128. This code was found by Heurico 1.16 in 0.00865 seconds.