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 1 1 1 1 1 1 2 2 2 2 4 2 2 2 2 1 1 1 1 2 2 1 1 1 2 2 4 2 1 2 1 1 4 1 1 1 2 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 4 4 4 4 4 4 4 4 4 0 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 0 4 4 0 0 0 0 4 0 4 4 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 0 0 0 4 0 0 0 0 4 4 0 4 0 0 0 4 0 4 4 0 4 4 0 4 0 0 0 4 4 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 4 0 4 0 0 4 4 0 4 4 4 0 0 4 4 0 4 0 4 4 0 4 4 0 4 0 4 0 0 0 0 0 4 0 0 0 4 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 0 4 0 0 4 0 4 0 0 4 4 4 4 4 4 0 0 0 4 0 4 4 4 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 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 4 0 4 0 0 0 0 4 0 4 4 0 0 0 4 0 4 4 4 4 4 0 4 4 0 4 0 0 4 0 4 4 4 4 0 4 4 4 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 4 4 4 4 4 4 0 4 4 4 0 0 0 0 0 4 0 4 4 4 0 0 4 4 4 0 0 4 4 4 4 0 0 4 4 0 0 4 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 0 0 4 4 0 0 4 0 0 4 4 0 0 4 0 0 4 0 0 0 4 0 0 4 4 0 4 4 4 4 4 4 4 0 0 4 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 0 0 4 4 4 0 0 4 4 0 4 0 4 4 0 4 4 0 0 0 4 4 4 4 0 4 0 4 4 0 4 0 0 4 0 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 4 0 0 4 0 0 4 0 0 4 4 4 0 0 4 4 0 4 0 0 4 4 4 0 4 0 4 4 0 4 4 0 4 4 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 4 4 4 0 0 0 0 4 0 0 4 4 4 0 4 0 0 0 4 4 0 0 4 4 4 4 0 0 0 0 0 0 4 0 0 4 4 generates a code of length 86 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+175x^72+2x^74+330x^76+70x^78+455x^80+268x^82+512x^83+592x^84+1536x^85+348x^86+1536x^87+631x^88+512x^89+266x^90+416x^92+62x^94+269x^96+8x^98+120x^100+64x^104+14x^108+3x^112+1x^120+1x^136 The gray image is a code over GF(2) with n=344, k=13 and d=144. This code was found by Heurico 1.16 in 9.37 seconds.