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 2 2 2 2 2 2 2 2 2 1 2 1 4 1 4 1 2 1 1 2 1 2 1 1 2 4 1 1 1 4 4 2 2 2 1 1 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 0 0 4 4 4 0 4 4 4 0 0 4 0 4 4 4 0 0 4 4 0 4 4 4 0 0 4 4 0 0 0 4 0 0 4 0 4 0 0 0 4 0 4 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 0 4 4 4 0 4 4 0 0 4 4 4 4 0 0 0 4 0 4 0 4 4 4 4 4 4 0 4 0 4 4 4 0 4 0 4 0 0 0 0 0 0 4 4 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 0 4 4 4 0 4 0 4 4 0 4 4 4 0 0 0 0 0 4 0 0 0 0 0 4 4 0 0 4 4 0 0 4 4 0 4 4 4 4 0 0 4 0 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 4 0 0 0 0 4 0 0 0 0 0 4 0 4 4 0 4 4 4 4 4 0 0 0 0 4 0 0 0 0 4 0 4 4 4 0 4 4 4 0 0 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 0 0 0 4 4 0 4 4 4 4 4 0 0 0 0 0 4 4 4 0 4 4 0 0 4 0 0 0 4 0 4 4 4 0 0 0 0 4 0 0 4 4 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 0 0 4 4 4 4 0 4 0 0 0 4 0 0 4 0 4 4 0 4 0 4 4 4 4 4 4 0 0 4 4 0 0 0 4 0 4 0 0 0 4 0 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 4 4 4 4 0 0 0 0 4 4 4 4 4 0 4 4 4 0 0 4 4 4 0 4 0 4 0 4 0 4 0 4 0 4 4 0 4 0 4 4 0 0 0 4 0 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 4 0 0 0 4 4 4 4 0 4 0 4 4 4 4 4 0 0 4 4 4 0 0 4 4 0 4 4 0 4 4 4 0 4 0 0 0 0 4 4 4 0 4 0 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 0 0 4 0 0 0 4 0 4 0 4 4 4 0 0 4 4 0 4 4 4 4 4 4 4 0 0 4 4 0 0 0 0 4 0 4 0 0 0 0 4 4 4 0 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 4 4 0 0 0 4 0 0 4 0 0 4 0 0 4 4 0 4 4 4 0 4 4 0 4 4 0 0 4 4 0 4 0 4 0 0 0 0 4 0 0 0 4 4 0 0 generates a code of length 84 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+82x^68+256x^72+42x^74+378x^76+194x^78+128x^79+480x^80+640x^81+372x^82+1280x^83+593x^84+1280x^85+308x^86+640x^87+556x^88+128x^89+98x^90+350x^92+10x^94+229x^96+89x^100+44x^104+11x^108+2x^112+1x^124 The gray image is a code over GF(2) with n=336, k=13 and d=136. This code was found by Heurico 1.16 in 8.48 seconds.