The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 2 1 1 4 1 1 1 2 1 1 1 1 2 0 1 8 1 1 1 4 4 2 0 12 0 0 0 0 0 0 0 4 12 12 4 12 4 12 8 12 8 12 0 8 12 8 4 12 12 8 4 4 12 0 8 12 0 8 8 8 0 4 0 4 0 4 8 12 12 12 0 0 12 12 8 12 0 4 0 4 8 8 8 4 4 4 0 0 12 0 0 8 12 12 4 4 4 8 4 12 0 8 0 8 0 4 4 4 4 4 12 8 0 12 12 0 8 8 12 0 0 8 8 12 0 12 8 4 0 4 8 8 12 8 12 12 4 0 4 12 0 12 12 12 12 0 12 0 0 4 0 0 0 12 0 12 12 4 8 0 0 0 4 12 4 4 8 12 4 4 8 8 4 4 0 0 8 4 0 8 4 4 12 0 0 4 8 12 4 0 0 8 8 0 4 0 4 8 12 4 12 4 4 8 12 8 4 8 0 8 8 8 0 0 0 0 0 0 12 4 8 4 4 0 4 4 4 0 8 12 12 8 8 4 8 12 0 12 4 8 12 0 0 0 4 4 8 4 8 12 0 12 12 8 12 8 4 4 8 8 12 0 4 4 8 8 8 8 0 12 0 8 0 4 0 4 12 8 generates a code of length 64 over Z16 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+60x^57+118x^58+98x^59+109x^60+312x^61+397x^62+600x^63+852x^64+556x^65+376x^66+276x^67+75x^68+62x^69+68x^70+34x^71+16x^72+28x^73+30x^74+14x^75+6x^77+3x^78+2x^79+2x^80+1x^104 The gray image is a code over GF(2) with n=512, k=12 and d=228. This code was found by Heurico 1.16 in 83.7 seconds.