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 2 0 1 1 2 1 0 1 1 1 1 1 1 1 2 0 1 2 1 1 0 2 0 1 1 1 1 2 1 2 1 0 0 4 1 2 1 2 1 1 4 2 1 2 2 1 0 2 1 0 1 2 1 2 1 1 2 1 0 0 2 2 1 1 1 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 0 6 6 0 0 6 0 6 6 2 0 6 6 0 2 6 0 2 0 2 6 4 6 2 6 6 4 2 2 6 2 2 4 2 4 6 2 6 2 2 2 4 2 4 0 6 4 0 0 6 4 0 6 2 2 4 2 2 2 0 6 2 2 6 4 2 2 2 6 0 6 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 0 4 0 0 4 4 0 4 4 4 0 4 0 0 4 4 4 4 0 4 4 4 0 0 4 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 4 0 4 0 0 0 0 0 0 0 4 4 4 4 4 0 0 4 4 4 4 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 0 0 0 4 4 0 4 4 0 4 4 4 0 0 0 4 4 0 4 4 4 4 4 0 4 0 4 4 0 0 4 4 0 4 0 0 0 0 4 4 4 0 4 4 0 0 4 4 4 0 0 4 0 0 0 4 0 4 4 0 0 0 0 4 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 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 0 4 4 4 0 4 4 4 0 4 4 4 4 0 4 4 0 4 4 4 0 4 0 0 0 0 4 4 0 0 4 4 0 4 4 0 4 0 4 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 0 4 4 4 4 0 4 4 0 0 4 4 4 0 0 0 0 0 4 4 0 4 0 0 0 4 0 4 4 0 4 0 4 4 4 4 0 0 0 4 0 0 4 4 4 0 4 0 4 4 4 0 0 0 4 0 4 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 0 4 4 4 0 0 4 4 4 0 0 4 0 4 4 0 4 4 0 4 4 4 4 4 4 4 4 4 4 0 0 0 4 0 0 4 0 4 0 0 4 4 0 4 0 0 0 4 4 4 0 0 0 4 4 0 4 4 4 4 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 4 0 4 4 0 4 4 4 4 4 0 0 0 4 0 4 4 0 0 0 4 0 0 0 0 4 0 4 0 4 4 0 0 4 4 4 4 0 4 4 0 0 0 4 0 4 4 4 4 0 4 0 4 0 4 0 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 4 0 4 0 0 4 4 0 0 0 4 0 4 0 4 0 0 0 4 0 4 0 0 0 4 4 4 4 0 4 4 4 4 0 4 4 4 4 0 0 0 4 4 0 4 0 0 4 4 0 0 4 4 4 0 4 4 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 0 4 4 0 4 4 4 0 0 4 4 4 4 4 0 0 0 0 0 4 4 0 0 4 4 0 0 4 4 4 0 0 0 4 4 0 0 0 4 4 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 0 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 4 4 4 4 0 4 4 0 0 0 0 0 4 4 0 4 4 0 0 4 4 0 0 0 0 4 4 0 0 0 4 0 4 4 4 0 4 0 0 0 0 4 0 0 4 0 4 4 0 4 4 0 4 0 4 4 0 0 4 0 0 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 0 0 4 0 0 0 4 4 0 0 4 0 4 0 0 4 4 4 4 0 4 0 0 4 0 4 4 4 0 4 0 4 0 0 0 0 4 4 0 4 4 0 0 0 0 4 4 0 4 0 4 4 4 4 4 0 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 generates a code of length 90 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+87x^68+12x^70+2x^71+278x^72+10x^73+74x^74+44x^75+366x^76+92x^77+225x^78+230x^79+541x^80+438x^81+626x^82+796x^83+1151x^84+1532x^85+1566x^86+2260x^87+2171x^88+2752x^89+2324x^90+2842x^91+2029x^92+2254x^93+1605x^94+1478x^95+1030x^96+878x^97+800x^98+432x^99+366x^100+184x^101+467x^102+94x^103+131x^104+50x^105+273x^106+14x^107+33x^108+2x^109+134x^110+8x^112+57x^114+23x^118+5x^122+1x^130 The gray image is a code over GF(2) with n=360, k=15 and d=136. This code was found by Heurico 1.16 in 99.6 seconds.