The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 0 1 1 6 1 1 1 1 0 6 1 1 1 0 1 6 1 1 1 0 1 6 1 1 1 0 6 1 1 1 6 1 1 1 0 1 0 1 4 1 1 0 1 2 6 0 1 6 6 1 1 1 1 1 1 1 1 1 0 1 1 2 1 1 1 1 1 2 0 0 1 1 0 1 3 6 1 1 0 3 1 6 1 1 1 0 3 1 6 5 0 3 1 1 5 6 3 1 0 1 5 6 5 1 3 1 0 6 0 1 1 5 6 3 1 5 3 0 1 5 1 5 1 3 4 1 6 1 1 1 6 1 1 3 7 0 5 6 2 7 3 5 1 0 7 1 0 6 6 3 5 0 1 1 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 0 0 4 4 0 4 4 4 0 0 4 4 4 0 0 4 4 4 0 0 0 0 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 0 4 4 0 0 4 4 0 0 0 4 0 4 0 0 0 4 0 4 0 4 4 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 4 0 0 4 4 4 4 4 4 4 0 0 4 4 0 0 4 4 0 0 4 0 0 4 4 0 4 4 4 4 0 4 4 4 0 0 0 0 4 4 0 4 4 4 4 4 0 0 0 0 4 4 4 0 4 0 4 4 4 4 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 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 0 4 4 0 4 4 4 4 4 4 0 0 4 0 4 0 0 4 4 4 0 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 0 4 4 4 4 4 0 4 0 0 0 0 4 4 0 0 4 0 4 4 4 4 4 0 0 4 4 4 4 4 4 0 0 4 4 4 4 4 0 4 4 0 4 0 0 4 0 0 0 0 4 0 0 4 4 4 0 0 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 0 0 4 4 4 4 4 4 0 4 0 0 4 4 0 4 0 4 0 4 0 4 0 0 4 0 0 4 0 4 0 0 4 4 4 0 0 4 0 4 0 0 4 0 0 0 4 4 0 0 4 0 4 4 4 4 0 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 4 0 4 0 0 4 0 4 4 0 4 4 4 4 0 4 4 4 4 4 0 4 4 0 4 4 0 4 0 4 4 0 0 0 0 4 0 4 4 0 4 0 0 4 0 0 0 4 0 0 4 4 4 4 0 4 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 4 0 4 0 0 0 0 0 0 0 4 4 4 4 4 0 0 4 0 4 0 4 0 0 4 0 0 0 4 0 0 0 4 4 4 4 0 4 4 0 4 4 4 4 4 0 4 4 0 0 0 4 0 4 4 0 4 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 4 0 0 0 0 0 4 4 0 4 4 4 0 4 0 4 0 0 4 0 4 4 0 0 4 4 0 0 4 4 0 0 0 0 0 0 4 4 0 4 4 0 4 0 0 0 4 0 4 0 0 4 0 0 4 4 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 0 4 0 4 4 0 4 4 0 4 4 0 0 4 0 4 4 0 4 0 0 0 4 0 4 0 0 4 4 4 0 0 0 0 0 4 4 4 0 4 4 4 0 4 0 0 0 0 0 0 0 4 0 4 0 4 4 4 0 4 4 4 4 0 0 0 0 4 0 generates a code of length 84 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+22x^68+2x^69+102x^70+40x^71+160x^72+132x^73+229x^74+456x^75+373x^76+1186x^77+573x^78+2154x^79+865x^80+3548x^81+1166x^82+4798x^83+1306x^84+4726x^85+1146x^86+3548x^87+872x^88+2172x^89+576x^90+1172x^91+284x^92+486x^93+192x^94+114x^95+131x^96+36x^97+66x^98+6x^99+56x^100+32x^102+16x^104+11x^106+7x^108+3x^110+3x^112 The gray image is a code over GF(2) with n=336, k=15 and d=136. This code was found by Heurico 1.16 in 63.1 seconds.