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 2 0 1 2 0 1 1 2 0 2 1 1 1 0 1 1 2 1 1 1 1 0 2 1 0 2 1 1 1 1 1 0 1 0 1 1 2 1 1 2 0 0 1 1 2 1 1 4 4 1 2 2 1 1 2 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 6 0 6 0 0 2 2 0 4 4 6 2 6 6 2 6 6 6 2 6 0 0 2 2 0 0 6 6 2 4 6 2 6 0 2 6 6 4 4 4 6 2 6 2 6 4 6 4 4 0 2 2 2 6 6 6 6 0 2 4 6 0 2 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 4 0 4 4 0 0 4 4 4 0 0 0 4 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 4 0 0 4 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 0 4 0 0 0 4 4 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 4 0 0 4 4 0 0 4 4 4 4 4 4 0 4 4 0 0 4 4 0 0 0 4 0 4 0 4 4 0 4 0 4 4 4 4 4 0 0 4 4 0 4 4 4 0 0 0 0 4 0 4 4 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 4 4 0 0 4 0 0 0 4 0 0 4 0 4 0 4 0 0 0 0 4 4 4 0 0 4 4 0 0 0 4 0 4 4 0 4 4 4 4 4 4 0 4 4 0 4 0 4 4 4 4 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 0 0 4 0 0 0 4 4 4 0 4 4 0 0 0 4 4 0 0 0 4 0 0 4 4 4 4 4 0 4 4 4 0 0 4 0 0 4 4 0 4 0 0 4 0 4 4 0 4 0 4 0 4 0 0 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 0 4 4 4 0 0 4 4 4 4 4 0 0 4 0 4 0 0 4 4 0 0 0 4 4 4 0 0 4 0 4 4 4 4 4 0 0 4 0 4 4 0 0 4 4 4 0 4 4 4 0 4 4 0 4 4 0 0 4 4 0 4 4 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 0 0 0 4 0 0 4 4 4 4 4 4 4 0 4 4 4 4 0 0 4 4 4 0 0 0 4 4 0 0 0 0 4 4 0 0 4 4 4 4 4 4 0 0 0 4 4 0 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 0 0 0 4 4 4 0 4 0 4 0 0 4 0 4 4 4 4 4 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 0 4 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 4 4 4 0 0 0 4 0 4 0 0 4 4 0 0 4 0 4 0 4 4 0 4 0 4 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 4 4 0 0 0 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 0 4 0 4 4 0 4 0 4 4 4 4 0 0 4 0 0 0 4 4 0 0 4 4 4 4 4 0 0 4 4 4 4 0 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 4 4 4 4 0 4 0 4 4 4 0 4 0 4 4 4 0 4 0 4 4 4 4 4 0 0 4 0 0 0 4 0 0 4 0 4 4 0 0 4 4 0 generates a code of length 82 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+87x^64+75x^66+22x^67+242x^68+64x^69+261x^70+178x^71+479x^72+324x^73+573x^74+742x^75+1052x^76+1464x^77+1708x^78+2298x^79+2449x^80+3052x^81+2596x^82+3098x^83+2356x^84+2416x^85+1798x^86+1430x^87+1025x^88+700x^89+681x^90+354x^91+306x^92+152x^93+302x^94+62x^95+143x^96+20x^97+120x^98+8x^99+38x^100+57x^102+8x^104+18x^106+6x^108+2x^110+1x^114 The gray image is a code over GF(2) with n=328, k=15 and d=128. This code was found by Heurico 1.16 in 93.1 seconds.