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 1 1 1 2 1 1 2 2 2 2 2 1 1 1 1 2 2 1 2 2 2 1 1 4 2 2 1 2 2 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 4 4 4 4 0 4 4 4 4 0 0 0 4 4 0 4 4 4 0 4 0 4 0 0 0 4 0 4 0 0 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 4 0 0 4 0 4 4 4 4 0 0 4 4 0 4 4 0 0 4 4 4 4 4 0 4 0 0 0 4 0 0 4 0 4 4 0 4 4 4 4 0 0 0 0 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 4 0 4 4 0 0 4 0 4 4 0 0 4 0 4 0 4 0 4 0 4 4 4 4 4 4 4 4 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0 0 0 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 4 0 4 0 0 4 4 4 0 0 4 0 0 4 0 4 4 0 0 0 4 0 4 0 4 4 4 0 0 4 0 0 0 0 4 4 4 4 0 4 4 4 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 0 0 0 4 0 0 4 4 0 0 0 0 4 0 0 0 4 0 4 0 0 0 4 0 0 0 4 4 4 4 0 4 0 4 4 0 0 0 4 0 4 0 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 4 4 4 0 4 0 4 0 4 0 0 0 0 4 0 4 0 4 0 4 4 0 0 4 4 4 0 0 0 0 0 4 0 0 0 0 4 4 0 4 0 0 0 0 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 4 4 4 4 4 0 4 0 4 4 0 0 0 4 4 0 0 0 4 0 0 0 4 4 0 4 0 0 4 0 0 4 4 4 4 0 4 0 4 0 4 4 0 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 0 0 4 0 4 4 4 0 0 4 0 0 4 0 0 4 0 0 4 0 0 0 4 0 0 4 4 0 4 4 4 4 4 4 0 4 4 0 4 0 0 4 0 0 4 0 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 0 4 0 4 0 0 4 4 4 0 4 0 4 4 0 4 4 4 4 4 0 4 4 0 4 4 0 4 0 4 4 4 4 4 0 4 0 0 0 4 4 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 4 4 4 0 0 4 4 0 4 4 4 4 4 4 4 4 0 0 0 0 0 4 0 0 4 0 4 0 0 4 0 4 4 4 4 0 4 0 0 0 4 4 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 0 0 0 0 0 4 4 0 4 4 0 4 0 0 4 4 4 4 0 0 0 4 4 4 0 4 4 0 0 0 4 4 0 0 4 0 4 0 4 0 4 4 4 4 0 generates a code of length 84 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+217x^68+2x^70+448x^72+30x^74+651x^76+288x^78+1065x^80+688x^82+4096x^83+1414x^84+4096x^85+738x^86+1048x^88+270x^90+673x^92+28x^94+389x^96+4x^98+172x^100+55x^104+8x^108+1x^112+1x^116+1x^136 The gray image is a code over GF(2) with n=336, k=14 and d=136. This code was found by Heurico 1.16 in 36.2 seconds.