The generator matrix 1 0 1 1 1 6 1 1 4 1 1 2 1 4 1 4 1 1 1 2 1 2 1 1 0 1 1 1 0 1 1 1 0 2 1 1 1 0 2 1 4 1 1 1 1 1 1 1 1 1 1 6 6 1 4 4 1 1 1 1 1 4 2 0 0 1 1 6 3 1 0 3 1 2 5 1 0 1 1 1 4 7 3 1 6 1 5 2 1 5 2 4 1 1 0 6 1 1 3 5 4 1 1 0 1 5 4 3 6 0 4 3 3 4 5 1 1 6 1 1 2 4 1 5 5 4 4 1 0 0 2 0 6 0 6 0 2 6 4 2 4 6 2 0 2 2 4 6 4 0 4 2 2 0 6 2 4 2 4 0 0 2 0 2 2 0 6 4 6 2 2 0 4 6 2 4 0 4 0 4 4 6 2 2 0 4 2 6 6 2 6 0 0 0 0 4 0 0 0 0 0 0 4 4 0 4 4 4 0 0 0 4 0 0 0 4 4 0 0 0 0 4 0 0 4 0 0 4 0 4 4 4 4 0 4 4 0 4 0 4 0 4 0 4 4 0 0 4 4 4 0 0 4 4 0 4 0 0 0 0 4 0 0 0 0 4 0 4 4 4 0 4 0 4 0 0 4 4 4 4 0 0 4 0 0 0 4 4 0 4 0 0 0 4 0 4 0 4 4 4 0 4 4 0 4 4 4 4 4 0 0 4 4 0 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 0 4 4 4 4 0 4 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 0 0 0 4 0 0 0 0 0 4 4 4 4 4 0 4 0 0 4 4 0 4 0 4 0 0 4 0 4 0 4 0 4 4 4 0 4 0 4 0 0 4 4 4 0 0 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 4 4 0 4 0 0 4 0 0 4 4 0 0 0 0 4 4 4 4 0 4 0 4 4 0 0 0 4 0 4 4 4 0 0 4 0 4 0 0 4 0 0 4 4 4 0 4 4 4 0 0 0 0 4 0 4 4 generates a code of length 64 over Z8 who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+54x^55+102x^56+284x^57+155x^58+606x^59+332x^60+958x^61+224x^62+1204x^63+428x^64+1182x^65+279x^66+962x^67+311x^68+554x^69+80x^70+220x^71+88x^72+78x^73+25x^74+24x^75+10x^76+16x^77+2x^79+5x^80+5x^82+3x^84 The gray image is a code over GF(2) with n=256, k=13 and d=110. This code was found by Heurico 1.16 in 3.04 seconds.