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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 4 2 1 1 1 4 2 2 1 1 1 1 4 1 1 2 2 1 1 1 4 4 2 2 1 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 0 0 0 4 4 4 0 4 4 4 0 0 0 4 0 0 0 4 4 4 0 0 0 4 4 0 4 0 4 0 4 4 4 4 4 0 0 4 4 0 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 0 0 0 4 0 0 0 4 4 4 0 0 0 4 4 4 0 4 4 0 0 4 4 4 4 0 0 0 4 4 0 4 4 0 0 4 0 4 4 0 0 4 4 4 4 4 4 0 0 0 0 4 4 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 0 0 0 4 0 4 4 4 0 4 0 0 4 4 0 0 0 4 4 4 0 4 0 4 0 4 0 4 4 4 0 0 0 0 4 4 0 4 4 0 4 4 0 0 4 0 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 0 0 0 0 4 4 0 0 0 0 4 4 4 0 0 4 0 0 0 4 4 0 0 0 4 0 0 4 4 0 0 4 0 4 0 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 4 0 4 4 0 4 0 4 0 4 4 4 4 0 0 4 4 0 0 0 4 0 4 0 0 0 0 4 4 0 4 4 0 4 4 0 0 0 0 0 4 0 4 4 0 4 4 4 4 0 4 0 0 4 0 4 0 0 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 0 0 4 4 4 0 0 0 0 4 0 0 0 4 4 4 4 0 0 4 0 4 0 4 4 4 4 0 0 0 0 0 0 0 4 4 0 4 4 4 0 4 0 0 4 0 4 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 4 0 4 0 0 0 4 4 4 0 0 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 4 0 4 0 0 0 0 4 4 4 4 0 4 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 4 0 0 4 0 4 0 0 4 0 0 0 0 4 4 4 0 0 4 4 0 4 4 4 4 0 0 0 4 4 4 4 0 4 4 0 4 4 4 0 4 4 4 0 0 4 0 4 0 4 4 4 0 0 4 0 4 4 4 0 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 0 0 0 4 0 0 4 4 0 0 4 0 4 4 0 0 4 4 0 4 4 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 4 0 4 0 4 0 0 0 4 4 0 4 4 0 4 4 4 0 0 0 4 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 4 0 4 0 0 4 0 4 4 0 0 0 4 0 0 4 0 0 0 4 4 0 4 0 4 0 0 0 0 4 4 0 4 0 4 0 0 4 4 4 4 4 4 0 4 0 4 4 4 0 4 0 generates a code of length 83 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+95x^68+64x^70+6x^71+161x^72+38x^73+124x^74+78x^75+161x^76+150x^77+289x^78+260x^79+803x^80+316x^81+1419x^82+348x^83+1420x^84+332x^85+781x^86+238x^87+257x^88+158x^89+157x^90+86x^91+90x^92+30x^93+110x^94+8x^95+52x^96+77x^98+25x^100+35x^102+6x^104+15x^106+1x^108+1x^126 The gray image is a code over GF(2) with n=332, k=13 and d=136. This code was found by Heurico 1.16 in 8.47 seconds.