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 1 1 1 1 1 1 1 2 0 1 0 2 1 1 2 1 0 1 1 1 4 4 1 0 1 1 2 1 2 1 0 1 2 2 2 2 2 2 1 0 2 0 2 0 0 2 6 0 4 6 2 0 2 2 4 4 0 2 6 0 0 6 6 4 6 2 4 4 2 2 0 0 4 4 2 0 4 6 0 2 0 0 2 4 2 2 4 0 2 6 4 0 2 2 2 2 6 2 4 4 2 2 0 0 0 2 2 0 6 2 0 4 2 0 2 0 6 4 6 2 0 2 4 6 0 4 2 4 2 4 0 2 6 4 6 6 2 2 0 6 2 4 6 2 2 0 4 6 2 6 6 2 0 2 2 2 6 6 0 4 4 2 2 6 6 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 0 4 4 0 0 4 0 4 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 4 4 0 0 4 0 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 0 0 0 4 4 4 4 4 0 4 0 4 0 4 4 0 0 0 4 4 0 0 4 4 4 0 4 4 0 4 4 4 0 0 4 0 0 4 0 4 0 4 4 0 4 4 4 4 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 0 0 4 4 0 0 0 0 4 4 4 4 0 0 4 0 4 0 0 0 0 4 0 4 4 0 4 4 4 4 0 0 0 4 0 0 4 4 4 0 4 4 4 0 4 0 4 0 0 0 0 0 0 4 0 4 4 4 4 4 0 4 4 0 4 4 0 4 0 0 4 0 4 4 4 4 4 4 0 4 4 4 4 0 0 4 4 4 4 0 4 0 0 4 4 4 4 0 4 0 4 0 4 0 0 0 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 0 4 0 4 0 0 4 0 4 4 0 0 4 4 0 4 4 4 0 4 4 0 0 0 0 4 4 4 4 4 0 0 0 0 0 4 4 0 0 4 0 0 4 4 4 0 4 0 generates a code of length 64 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+205x^56+12x^57+244x^58+104x^59+412x^60+136x^61+510x^62+248x^63+501x^64+272x^65+404x^66+152x^67+350x^68+88x^69+190x^70+8x^71+143x^72+4x^73+46x^74+43x^76+12x^78+6x^80+2x^82+2x^84+1x^92 The gray image is a code over GF(2) with n=256, k=12 and d=112. This code was found by Heurico 1.16 in 56.3 seconds.