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 0 2 2 4 1 1 1 1 1 1 2 2 0 2 2 0 1 2 1 1 1 2 2 4 1 4 4 4 4 0 1 4 1 4 1 4 2 1 1 0 2 1 1 2 2 2 1 0 2 0 0 0 2 6 2 0 0 0 2 4 4 6 2 6 0 2 0 6 6 4 0 0 6 6 2 2 4 0 0 2 4 2 0 6 0 6 2 0 6 2 4 2 2 2 0 6 2 2 2 2 2 2 4 2 0 4 2 0 4 2 4 4 2 0 2 2 2 0 4 4 2 4 2 2 6 4 0 0 0 6 0 0 0 2 0 2 2 6 0 0 0 2 4 2 0 6 2 4 6 0 6 2 0 4 4 6 6 0 2 6 6 2 0 6 2 6 4 2 4 6 0 2 4 0 0 0 0 0 2 0 0 0 6 4 6 2 4 6 4 2 0 2 2 6 2 2 0 2 0 6 4 2 6 2 4 2 2 4 6 4 4 4 2 6 4 0 0 0 2 2 0 6 2 0 6 2 6 4 2 2 4 4 2 4 4 2 6 0 6 2 4 6 2 0 6 0 0 6 4 4 0 2 2 2 2 2 4 6 2 0 2 4 6 4 4 6 4 4 6 4 2 0 4 0 4 2 4 4 4 4 0 4 2 0 4 0 2 6 2 2 2 4 2 2 0 2 6 2 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 4 0 0 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 4 4 0 0 4 0 4 0 4 0 4 4 0 0 0 4 4 4 4 4 0 4 0 0 4 0 0 4 4 4 4 0 0 4 4 4 4 0 0 0 0 0 4 4 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 0 4 4 4 4 0 4 4 4 0 4 4 0 4 0 0 4 0 0 0 0 4 0 4 4 4 0 0 0 0 4 0 4 4 0 0 4 0 0 0 0 4 4 0 4 4 4 4 0 0 4 0 0 4 0 0 4 0 4 4 0 0 0 0 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 0 4 4 0 0 4 4 4 0 0 0 0 0 4 4 4 4 0 0 0 4 0 0 4 4 0 4 0 0 4 4 4 4 4 0 4 0 0 4 0 0 0 4 0 4 4 4 4 4 0 0 4 0 0 0 0 4 0 0 4 4 0 4 4 0 0 4 0 4 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 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 0 0 4 0 4 4 0 4 0 0 0 4 0 4 0 0 0 4 0 0 4 0 4 4 0 0 4 4 4 4 0 0 0 0 4 0 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 0 0 4 4 0 4 4 0 0 4 0 0 0 4 4 0 0 4 0 4 0 0 0 4 0 4 4 4 4 4 0 0 0 0 4 4 4 0 4 4 4 0 4 0 0 4 0 0 0 0 0 4 4 4 4 4 0 0 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 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 0 4 0 0 4 0 4 4 0 4 0 4 0 4 4 generates a code of length 84 over Z8 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+158x^70+493x^72+12x^73+828x^74+116x^75+1282x^76+276x^77+1998x^78+680x^79+2503x^80+1308x^81+3165x^82+1720x^83+3602x^84+1720x^85+3361x^86+1248x^87+2738x^88+692x^89+1844x^90+308x^91+1168x^92+84x^93+688x^94+24x^95+410x^96+4x^97+205x^98+74x^100+35x^102+12x^104+6x^106+2x^108+2x^112+1x^120 The gray image is a code over GF(2) with n=336, k=15 and d=140. This code was found by Heurico 1.16 in 90 seconds.