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 2 0 2 0 1 1 2 1 1 1 0 2 2 1 1 1 1 1 1 1 0 0 1 1 1 0 2 2 1 1 2 2 1 1 1 0 2 1 1 2 1 2 2 1 1 4 0 2 1 1 2 1 0 2 0 6 0 6 0 6 0 6 4 6 0 6 0 6 2 4 2 4 0 4 4 6 0 0 4 6 6 2 2 2 6 2 6 2 6 6 6 0 0 6 2 6 6 0 4 6 2 0 2 6 2 2 2 6 0 2 6 6 0 0 6 6 6 2 2 2 2 4 0 6 6 6 2 2 4 4 2 2 4 2 6 0 0 0 4 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 0 4 0 0 4 4 4 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 0 4 0 4 4 0 4 0 4 0 4 0 4 4 0 4 0 4 0 0 0 4 0 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 4 4 4 0 4 4 4 4 0 0 4 0 0 0 4 4 0 4 4 4 0 4 4 0 0 0 4 0 0 4 4 0 0 4 4 0 0 0 0 0 0 0 4 4 4 4 0 4 0 4 0 0 4 4 4 0 4 4 4 0 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 4 4 4 4 4 0 0 4 4 4 4 4 0 4 4 4 0 4 0 4 4 4 0 4 4 0 0 4 4 4 0 0 4 0 0 0 0 4 4 0 4 4 0 4 0 4 0 0 0 4 4 4 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 0 0 4 0 4 4 4 4 4 4 4 0 4 0 0 0 4 4 4 4 0 4 4 0 4 0 0 4 0 4 0 4 0 4 4 4 4 0 4 4 0 0 4 4 4 0 0 4 4 4 4 4 4 4 4 0 0 0 0 0 0 4 4 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 0 0 0 0 4 4 0 0 4 4 4 4 4 4 4 4 4 4 0 4 4 4 0 4 0 0 4 0 4 0 0 0 0 0 0 4 0 4 4 4 0 4 4 4 4 4 4 4 0 0 0 4 0 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 4 0 4 4 0 0 0 4 4 0 4 0 4 4 4 0 0 0 4 0 4 0 4 4 4 0 0 4 0 0 0 4 4 0 0 0 0 4 0 4 4 4 0 0 4 0 4 0 4 4 0 4 4 0 0 0 0 4 0 4 4 4 4 0 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 4 0 4 0 4 4 4 0 0 0 4 4 4 0 0 0 4 0 4 0 4 0 4 0 0 4 4 0 0 0 4 4 0 4 4 0 4 4 4 0 0 0 4 0 0 4 4 0 4 4 0 4 0 4 4 4 4 0 0 0 0 0 4 0 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 0 4 4 4 0 0 0 4 4 0 4 0 4 0 0 4 4 4 0 4 0 4 0 0 4 0 4 0 4 4 4 0 4 0 4 0 0 4 4 4 4 0 0 0 4 4 0 0 4 4 4 0 0 0 4 0 0 4 0 0 0 4 0 4 4 0 0 0 0 generates a code of length 84 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+142x^72+110x^74+4x^75+479x^76+36x^77+416x^78+144x^79+781x^80+336x^81+706x^82+504x^83+971x^84+504x^85+712x^86+336x^87+664x^88+144x^89+522x^90+36x^91+365x^92+4x^93+88x^94+101x^96+6x^98+54x^100+19x^104+2x^108+3x^112+1x^116+1x^120 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 8.31 seconds.