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 4 2 1 4 2 1 1 2 4 2 0 2 1 1 0 1 1 0 2 1 4 1 4 1 2 1 1 0 1 1 1 0 1 1 2 2 4 1 1 1 2 2 2 1 1 1 4 4 1 0 2 0 2 0 0 2 6 0 4 2 0 6 4 6 2 6 0 2 0 2 4 0 2 2 0 6 2 0 2 4 0 2 4 6 2 2 2 2 2 6 4 6 2 6 4 4 4 0 2 2 6 0 2 0 2 4 4 0 6 2 4 2 2 6 4 4 0 4 4 2 2 6 0 4 0 6 2 2 4 0 2 0 0 0 0 2 2 0 6 2 0 0 2 2 4 4 6 2 4 0 0 2 0 2 2 6 0 6 6 2 4 4 0 4 6 2 0 4 6 6 2 2 2 4 2 4 6 4 2 2 0 0 4 4 0 2 6 6 6 2 2 2 0 6 0 2 6 6 2 2 2 4 6 4 6 6 0 0 2 0 4 6 0 4 2 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 0 4 4 0 4 4 4 0 0 0 4 0 4 4 4 4 0 4 4 0 4 0 0 4 0 4 0 0 4 0 0 0 4 4 0 4 4 0 0 4 0 4 0 4 0 0 4 4 0 4 0 4 4 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 0 4 4 4 4 4 4 0 4 4 4 0 0 4 0 4 0 4 0 4 4 4 0 0 4 4 4 0 0 4 4 4 4 4 4 0 0 0 4 0 4 0 0 0 0 0 0 4 4 0 4 4 4 4 0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 0 4 0 0 4 4 0 4 4 4 4 4 4 0 0 4 4 0 4 4 4 4 0 0 0 4 0 0 0 4 0 4 0 4 4 0 4 0 0 0 4 4 4 4 4 0 0 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 4 4 4 4 0 4 4 0 4 0 0 4 4 0 4 4 4 4 4 0 0 4 0 0 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 0 4 0 0 4 4 0 4 0 4 4 4 4 0 4 4 4 0 0 4 0 0 4 0 0 0 4 4 4 0 4 0 4 0 0 0 0 4 0 0 4 4 0 4 0 4 0 0 4 4 0 0 0 0 4 0 4 4 0 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 4 4 4 4 0 0 4 4 0 0 4 4 0 4 4 0 0 0 4 0 4 4 4 0 0 4 0 0 4 0 0 0 0 4 0 4 0 4 4 0 0 0 0 0 0 4 0 4 4 4 0 0 0 0 0 4 0 0 4 4 generates a code of length 84 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+62x^72+46x^73+139x^74+156x^75+207x^76+296x^77+276x^78+396x^79+455x^80+536x^81+629x^82+600x^83+663x^84+666x^85+601x^86+592x^87+429x^88+350x^89+255x^90+228x^91+148x^92+124x^93+86x^94+68x^95+57x^96+28x^97+47x^98+8x^99+19x^100+2x^101+10x^102+3x^104+2x^106+3x^108+2x^110+1x^112+1x^118 The gray image is a code over GF(2) with n=336, k=13 and d=144. This code was found by Heurico 1.16 in 6.74 seconds.