The generator matrix 1 0 0 0 1 1 1 1 0 2 1 6 1 2 1 1 1 4 6 1 1 6 1 1 6 1 4 0 2 1 4 4 2 1 1 4 0 1 4 0 1 1 2 2 4 0 0 1 0 2 2 0 0 4 1 1 1 1 1 1 1 1 1 1 0 1 0 0 3 6 0 1 1 0 5 1 1 1 2 5 7 2 1 2 6 6 6 1 4 7 1 1 4 0 1 0 0 7 2 0 1 5 4 1 1 4 2 6 0 0 2 6 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 3 2 1 1 1 0 0 3 3 1 3 4 2 2 7 1 2 2 0 4 3 1 1 5 0 0 2 4 5 6 6 0 1 1 6 0 1 0 4 2 1 7 1 3 1 7 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 0 1 1 2 3 1 2 1 2 5 1 2 7 4 3 0 7 1 6 1 0 4 7 5 1 1 3 2 1 0 7 3 5 5 7 6 1 1 0 6 5 3 5 7 4 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 4 0 0 4 0 4 4 4 0 4 0 0 4 0 0 4 4 4 4 0 4 0 0 4 4 4 0 4 4 4 4 4 0 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 4 0 0 4 0 4 0 4 0 4 4 0 4 4 0 0 0 0 4 0 0 4 0 0 0 0 4 0 4 0 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 4 0 0 4 4 4 0 4 0 0 4 0 0 4 0 0 4 4 4 4 4 4 0 4 4 0 4 0 4 0 4 4 4 0 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 0 4 4 0 0 0 0 0 0 4 0 0 4 4 4 4 0 4 4 0 4 4 4 4 4 0 0 0 4 0 0 0 4 4 0 4 0 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 generates a code of length 64 over Z8 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+28x^44+52x^45+110x^46+156x^47+196x^48+504x^49+385x^50+708x^51+541x^52+1176x^53+763x^54+1224x^55+1262x^56+1544x^57+2218x^58+1996x^59+3793x^60+2888x^61+5718x^62+4076x^63+6705x^64+4124x^65+5846x^66+2880x^67+3950x^68+2008x^69+2166x^70+1428x^71+1135x^72+1316x^73+763x^74+1152x^75+576x^76+824x^77+343x^78+396x^79+207x^80+144x^81+105x^82+64x^83+31x^84+12x^85+11x^86+5x^88+3x^90+1x^92+1x^94+1x^96 The gray image is a code over GF(2) with n=256, k=16 and d=88. This code was found by Heurico 1.16 in 100 seconds.