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 1 1 2 1 2 1 2 1 1 1 1 2 2 1 1 2 1 1 2 1 1 1 1 1 2 1 1 1 2 4 2 2 2 1 2 2 2 1 2 1 1 1 1 1 1 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 4 4 4 4 4 4 4 4 4 0 4 4 0 4 0 4 0 4 4 4 4 0 0 4 4 0 4 4 0 4 4 4 4 4 0 4 4 4 0 0 0 0 0 4 4 4 4 0 0 0 0 0 0 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 4 4 4 4 4 4 4 4 4 0 4 4 0 0 0 4 0 0 0 0 4 4 0 0 0 4 4 4 0 4 0 0 0 4 0 4 4 4 0 4 0 0 4 4 4 0 4 4 4 4 0 0 0 0 0 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 4 0 0 0 0 0 0 0 0 4 4 4 0 4 0 4 4 4 4 4 4 4 4 0 0 4 4 4 4 0 4 4 4 4 4 0 4 4 4 0 0 0 4 4 4 4 0 4 0 4 0 0 0 0 0 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 0 0 0 4 4 4 4 0 0 0 0 0 0 4 0 4 4 0 4 0 4 0 0 0 4 4 0 4 0 0 4 0 0 0 4 0 0 4 4 4 0 0 4 4 0 4 0 0 4 0 0 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 0 4 4 0 0 4 4 0 0 0 0 4 4 0 0 0 0 0 4 4 0 4 4 0 4 0 0 4 4 0 0 4 4 0 4 0 4 0 4 4 4 4 4 4 0 4 4 4 0 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 0 4 4 0 4 0 4 0 4 0 0 0 4 4 4 4 4 0 0 4 4 0 4 4 0 0 0 0 0 4 0 0 4 4 0 0 4 0 0 0 0 4 0 4 4 4 4 4 0 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 4 0 4 4 4 4 0 0 0 4 0 4 0 0 0 4 0 4 0 4 0 0 0 4 0 4 0 4 4 4 0 0 0 4 0 4 0 0 4 0 4 0 0 0 0 0 0 0 4 4 4 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 0 0 4 0 0 4 4 0 0 4 4 4 0 4 0 0 4 0 0 0 4 0 0 0 4 4 4 4 0 0 4 4 0 0 0 4 4 0 4 0 0 0 4 0 4 4 0 4 4 4 0 0 4 4 0 0 0 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 0 0 4 4 0 4 4 0 4 4 0 0 4 0 0 0 0 4 4 4 4 0 0 0 0 4 4 4 4 4 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 4 0 4 4 0 4 4 0 0 4 0 0 4 0 4 0 0 0 0 0 4 4 0 0 0 0 4 4 0 4 4 4 4 0 4 4 4 0 4 4 0 0 4 0 0 4 4 0 0 4 4 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 0 4 4 0 4 4 0 4 0 4 0 0 0 4 4 4 0 4 4 0 0 4 4 4 0 0 4 0 4 4 0 0 0 0 4 4 0 0 0 4 0 4 0 0 4 4 0 0 4 0 4 4 0 4 4 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 4 4 4 0 4 0 4 4 4 0 4 0 0 4 0 4 4 4 4 4 0 0 0 4 4 0 0 4 0 0 4 4 4 0 0 4 4 0 0 0 0 0 0 4 4 4 4 4 0 0 4 4 0 4 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 84 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+113x^56+332x^60+475x^64+597x^68+712x^72+98x^74+1055x^76+612x^78+1805x^80+1310x^82+8192x^83+2225x^84+8192x^85+1400x^86+1644x^88+574x^90+979x^92+100x^94+816x^96+2x^98+702x^100+450x^104+223x^108+119x^112+27x^116+9x^120+3x^124+1x^132 The gray image is a code over GF(2) with n=336, k=15 and d=112. This code was found by Heurico 1.16 in 99 seconds.