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 2 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 2 1 2 1 1 1 2 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 0 4 0 4 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 0 0 4 0 4 0 4 4 4 4 4 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 0 4 4 0 4 4 0 0 0 4 0 4 0 4 4 0 0 4 0 0 4 0 4 4 4 4 0 4 0 4 4 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 0 0 4 4 0 0 0 4 4 4 4 0 4 4 0 4 0 0 4 4 0 4 4 4 0 0 0 4 4 4 0 4 0 0 0 0 4 4 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 4 0 4 4 0 0 4 0 4 0 0 0 0 4 4 0 4 0 4 0 0 0 0 0 4 0 0 0 4 0 4 4 4 4 0 4 0 0 0 4 0 0 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 0 0 4 0 0 0 0 4 0 4 4 0 4 0 4 4 4 0 0 0 4 4 4 0 0 0 4 4 0 0 4 0 0 4 4 0 4 0 0 0 4 0 0 0 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 4 0 0 4 4 4 4 0 0 0 4 4 0 0 0 0 0 0 4 4 4 4 4 0 0 4 0 4 4 0 4 4 0 4 0 4 0 0 4 0 4 4 4 0 4 4 0 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 0 4 4 0 4 0 4 0 4 0 4 0 4 4 0 0 0 4 4 0 4 0 0 4 4 0 4 0 4 0 0 0 4 4 0 4 0 4 4 0 4 0 4 4 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 0 0 4 4 0 4 4 0 4 0 0 4 0 0 4 4 0 0 0 4 4 4 0 4 4 4 0 4 4 0 0 0 4 0 4 4 4 4 4 4 0 4 0 0 0 0 0 4 4 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 4 4 4 0 4 4 4 4 4 4 0 0 4 0 4 4 4 4 0 4 4 0 0 0 0 0 4 0 4 4 0 4 4 0 4 4 4 4 0 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 0 0 0 4 4 0 4 0 0 0 4 4 0 0 4 0 4 0 4 4 0 0 4 4 4 0 4 0 0 4 0 0 4 0 0 0 4 0 0 0 0 4 4 0 0 0 4 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 4 4 0 4 0 4 0 4 4 4 0 0 0 0 0 4 0 0 0 4 4 4 0 4 0 0 4 4 4 4 4 4 0 4 0 4 0 0 0 0 0 4 4 4 0 0 0 0 0 generates a code of length 77 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+88x^56+326x^60+627x^64+42x^66+977x^68+332x^70+1948x^72+1198x^74+2957x^76+16384x^77+1672x^78+2521x^80+742x^82+1406x^84+108x^86+792x^88+2x^90+417x^92+154x^96+57x^100+12x^104+3x^108+1x^112+1x^124 The gray image is a code over GF(2) with n=308, k=15 and d=112. This code was found by Heurico 1.16 in 98.4 seconds.