The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 1 1 6 1 1 0 1 0 1 1 6 1 1 1 0 1 1 1 4 1 6 1 1 1 1 1 1 1 6 1 0 2 1 1 1 1 2 1 1 1 1 6 6 6 1 1 1 1 1 1 2 4 0 1 3 6 1 1 0 3 1 6 5 1 0 3 1 6 5 1 5 1 6 3 1 0 0 3 1 6 5 1 1 0 1 2 7 5 4 6 5 0 1 3 1 1 5 4 3 7 1 7 4 6 5 1 1 1 3 4 2 5 3 3 4 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 0 4 4 0 4 4 0 4 0 4 0 4 4 0 0 0 4 0 4 4 0 0 0 0 4 0 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 0 0 0 4 0 0 0 4 0 0 0 0 0 4 0 4 4 0 4 0 4 0 4 0 4 4 4 4 4 4 0 4 0 4 0 4 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 0 0 4 0 4 0 4 4 0 0 4 4 0 0 0 0 4 0 0 0 0 4 4 0 4 4 0 0 4 4 4 4 0 0 4 4 4 4 4 0 4 4 0 0 4 4 4 0 0 4 4 0 0 4 0 0 0 0 4 0 0 4 0 0 0 0 4 0 0 0 4 0 4 0 4 0 0 0 0 0 0 4 0 0 4 0 4 4 0 0 4 4 4 0 0 4 4 4 0 4 0 0 0 0 4 4 0 0 4 4 4 4 4 0 0 4 0 4 0 0 4 4 0 0 0 4 4 0 0 4 4 0 0 0 0 4 4 0 4 4 0 0 0 0 0 0 4 0 4 0 0 0 4 0 4 0 4 4 4 4 4 4 4 0 0 0 0 4 4 0 4 4 4 0 4 0 0 4 4 4 4 0 4 0 0 4 4 0 0 0 0 4 4 0 0 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 4 4 0 4 0 0 4 4 4 4 0 4 0 4 0 4 4 4 0 4 0 0 0 4 4 4 4 4 4 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 4 4 0 0 4 0 4 4 4 4 4 4 0 generates a code of length 64 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+93x^56+40x^57+216x^58+100x^59+502x^60+164x^61+474x^62+212x^63+550x^64+196x^65+522x^66+172x^67+383x^68+108x^69+190x^70+28x^71+108x^72+4x^73+6x^74+14x^76+5x^80+5x^84+3x^88 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 0.812 seconds.