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 2 2 4 0 2 0 1 2 1 1 0 0 0 1 2 1 2 1 1 0 4 1 2 1 2 1 1 1 1 1 0 1 2 1 4 1 1 2 0 2 0 2 0 0 2 6 0 0 2 6 4 6 4 6 4 0 2 6 2 4 4 6 6 2 4 6 2 2 2 4 2 0 0 0 4 0 2 4 6 4 2 6 4 2 2 4 4 6 6 6 0 0 6 0 4 6 2 4 2 0 0 2 0 0 2 2 0 6 2 0 0 6 2 0 4 2 2 0 6 0 6 4 4 2 0 6 2 2 2 0 2 4 6 2 4 6 6 0 2 2 0 6 4 2 2 2 0 4 6 0 2 0 4 0 6 0 2 2 2 2 2 6 2 2 2 2 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 0 0 4 4 0 4 0 4 4 4 0 0 0 0 4 4 0 4 0 4 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 0 4 0 4 0 4 0 4 0 4 4 4 0 4 0 0 0 0 0 4 0 4 4 0 0 4 4 4 0 4 0 0 4 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 0 0 0 0 4 0 4 4 0 0 4 0 4 4 0 4 0 4 4 4 0 4 4 4 0 0 0 4 0 0 0 0 0 4 0 4 0 4 0 4 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 4 4 4 0 4 4 0 4 4 0 4 0 4 4 0 4 0 0 4 0 4 0 0 4 0 0 4 0 0 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 0 0 4 0 0 4 4 4 4 0 0 4 0 4 4 0 0 0 0 4 0 0 4 0 4 4 4 0 0 4 4 4 0 4 4 0 0 4 4 0 4 0 4 0 4 4 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 0 4 4 4 4 0 4 0 0 0 4 0 4 4 0 0 4 4 0 4 0 4 4 4 4 0 4 4 4 0 0 4 0 4 4 0 0 4 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 4 0 4 0 4 0 0 0 4 4 0 4 0 4 0 0 4 4 0 4 4 0 0 0 4 4 0 0 0 0 0 4 4 4 4 4 0 4 0 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 0 4 0 4 4 4 4 4 0 0 0 generates a code of length 64 over Z8 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+83x^50+40x^51+191x^52+166x^53+332x^54+368x^55+595x^56+678x^57+1000x^58+1510x^59+1784x^60+2342x^61+2743x^62+2970x^63+3029x^64+3254x^65+2552x^66+2372x^67+1868x^68+1410x^69+1109x^70+772x^71+533x^72+290x^73+284x^74+142x^75+148x^76+50x^77+65x^78+18x^79+33x^80+2x^81+17x^82+9x^84+7x^86+1x^96 The gray image is a code over GF(2) with n=256, k=15 and d=100. This code was found by Heurico 1.16 in 88.6 seconds.