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 2 2 0 2 0 1 0 1 4 1 2 4 1 2 0 0 1 2 1 2 2 2 1 1 0 4 2 1 1 1 0 1 2 1 1 2 4 4 1 1 4 2 1 4 2 4 1 2 1 1 1 1 2 0 2 0 2 0 0 2 6 0 0 2 6 4 6 4 6 4 2 0 6 0 6 6 0 4 0 6 2 2 0 4 2 6 4 2 6 2 4 0 2 4 4 2 4 2 2 2 6 2 0 6 6 0 2 2 0 2 0 2 2 0 4 6 4 0 0 6 0 6 6 2 2 2 6 2 6 6 2 4 0 4 6 0 2 0 4 0 0 0 2 2 0 6 2 0 0 6 2 0 4 2 2 0 6 6 4 0 2 4 6 0 2 6 2 6 2 4 4 4 0 2 2 4 4 2 2 0 2 2 6 2 6 2 6 4 0 2 0 4 4 2 6 6 6 2 4 6 6 2 2 4 2 0 0 4 2 0 6 0 2 0 6 4 2 0 6 2 0 2 2 0 2 6 4 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 4 0 4 0 0 0 4 0 4 4 4 0 0 4 4 0 4 4 4 0 4 4 4 4 0 4 0 0 0 4 4 4 0 4 4 0 0 0 0 4 4 4 4 0 0 4 4 4 0 0 4 0 4 4 4 4 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 0 0 0 4 0 0 4 4 0 0 0 4 4 4 0 0 4 4 0 4 4 4 4 0 0 4 4 0 0 4 0 0 4 0 0 0 0 4 0 4 0 4 4 0 4 0 4 4 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 0 0 0 4 4 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 4 0 4 4 4 0 0 0 4 4 4 0 0 4 0 4 0 4 4 4 0 0 0 4 0 0 0 4 4 4 4 0 4 4 4 0 0 0 0 4 0 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 0 4 4 0 0 0 0 4 4 4 4 4 4 0 4 0 0 0 4 4 4 4 0 0 0 4 4 4 4 4 4 0 0 0 0 0 4 4 4 4 0 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 0 0 0 0 0 0 4 0 4 0 4 0 4 4 4 4 0 4 0 4 0 4 0 0 4 4 4 0 0 4 0 4 4 4 0 0 0 4 4 0 4 4 0 4 0 0 4 0 4 0 4 4 4 0 4 4 0 4 0 4 4 4 4 4 4 4 4 0 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 4 0 0 0 0 0 4 4 0 0 4 0 4 4 0 0 4 4 4 0 4 0 4 4 0 0 4 0 0 4 0 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4 0 4 0 0 0 4 0 4 4 4 0 4 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 0 0 4 4 0 0 4 0 4 4 4 0 0 4 0 4 4 0 4 0 4 4 4 4 4 0 4 4 0 0 4 4 4 4 4 4 0 4 4 0 0 0 4 4 0 0 4 0 4 0 0 4 4 0 0 4 4 0 4 4 4 0 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 4 0 4 4 4 0 0 4 4 4 4 4 4 0 0 4 0 0 4 4 4 0 0 4 0 0 4 4 4 0 0 4 4 4 0 4 4 0 0 4 0 0 0 0 0 0 4 4 4 0 4 4 0 4 4 4 0 0 0 generates a code of length 87 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+174x^72+238x^74+4x^75+772x^76+52x^77+864x^78+248x^79+1697x^80+520x^81+2046x^82+956x^83+3120x^84+1500x^85+3300x^86+1616x^87+3626x^88+1456x^89+2946x^90+1084x^91+2337x^92+492x^93+1352x^94+184x^95+1083x^96+72x^97+426x^98+4x^99+335x^100+4x^101+84x^102+132x^104+8x^106+27x^108+7x^112+1x^116 The gray image is a code over GF(2) with n=348, k=15 and d=144. This code was found by Heurico 1.16 in 95.2 seconds.