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 2 0 1 2 0 2 1 2 4 1 2 1 1 2 1 1 1 2 1 1 2 1 0 0 2 1 1 0 1 2 2 1 1 2 1 1 1 1 2 2 4 2 4 2 4 0 1 0 2 0 0 0 0 0 0 0 2 2 6 2 2 4 4 0 2 6 0 2 4 0 2 4 0 2 6 2 2 6 6 2 2 6 0 4 4 6 4 2 6 0 2 4 6 0 6 2 4 2 4 0 0 0 2 6 4 4 6 2 2 6 0 4 0 6 6 4 4 2 2 2 6 2 0 6 2 2 0 6 6 2 2 0 6 2 2 2 0 0 2 0 0 0 2 6 2 4 2 2 0 2 4 6 4 6 4 2 4 0 0 6 2 2 6 0 2 0 4 6 0 2 4 0 2 2 2 2 6 4 4 4 6 0 2 2 4 6 0 0 0 0 6 4 6 6 2 6 6 6 0 0 4 2 6 2 0 2 0 4 0 0 6 6 0 0 4 0 4 2 2 4 4 2 0 2 4 0 0 0 2 0 2 2 2 4 4 4 4 6 2 6 2 0 2 6 0 0 0 2 6 4 6 0 2 2 6 4 4 4 0 4 0 2 4 2 2 2 4 2 2 2 6 6 4 6 0 6 2 0 2 4 0 0 0 2 4 2 4 0 4 2 4 6 6 2 0 4 4 0 6 6 4 4 2 0 4 2 6 2 2 2 0 2 4 2 0 0 0 0 2 2 0 2 6 2 0 2 4 2 6 0 4 0 6 0 6 6 4 4 6 2 4 4 6 2 0 2 0 4 6 6 6 0 6 6 4 2 4 6 4 6 2 2 6 6 4 6 2 0 2 6 0 2 4 4 2 6 4 4 2 4 2 4 2 0 6 4 6 0 6 0 2 6 4 2 4 4 6 0 4 4 0 2 6 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 4 4 0 4 4 4 4 0 0 4 4 0 0 4 4 4 4 4 0 4 0 0 4 4 4 0 4 4 4 0 0 0 4 4 4 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 4 0 4 4 4 4 0 0 4 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 4 0 4 4 4 0 0 4 4 0 0 0 4 4 4 0 0 4 4 4 4 0 4 4 4 0 0 4 0 0 4 4 4 0 0 4 4 0 4 0 4 4 4 4 0 4 0 4 0 0 0 4 0 0 4 4 0 4 4 0 4 0 4 4 4 0 0 4 0 4 4 4 0 4 4 generates a code of length 89 over Z8 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+77x^78+100x^79+203x^80+234x^81+280x^82+348x^83+377x^84+518x^85+515x^86+582x^87+662x^88+664x^89+642x^90+594x^91+471x^92+396x^93+327x^94+306x^95+233x^96+158x^97+139x^98+90x^99+62x^100+58x^101+58x^102+28x^103+33x^104+16x^105+7x^106+6x^108+4x^109+2x^110+1x^126 The gray image is a code over GF(2) with n=356, k=13 and d=156. This code was found by Heurico 1.16 in 6.78 seconds.