The generator matrix 1 0 1 1 1 0 1 1 0 1 1 4 1 1 2 1 2 6 1 2 4 1 6 6 1 1 0 1 2 6 1 1 1 1 4 4 1 1 1 1 2 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 0 1 1 0 1 1 0 3 1 4 7 1 6 5 1 7 0 1 3 6 0 2 1 1 5 6 1 5 1 1 3 4 5 3 2 1 3 6 7 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 2 0 0 6 6 0 0 0 2 2 2 2 2 2 2 4 2 4 4 2 2 0 2 6 6 4 4 6 2 0 2 0 2 0 2 2 0 6 2 2 6 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 2 0 6 6 2 6 0 2 0 2 4 2 0 6 0 0 0 4 0 2 6 6 0 4 0 2 6 4 6 0 2 6 6 6 2 4 6 6 0 6 4 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 2 6 6 2 0 2 2 0 0 6 2 4 0 4 6 4 0 4 4 6 0 2 2 4 4 4 6 4 6 6 6 0 0 4 2 4 2 6 4 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 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 0 0 4 4 4 4 4 4 4 0 0 4 0 0 4 0 0 0 0 4 0 4 0 4 0 4 4 4 0 0 4 4 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 4 0 0 0 4 4 4 0 4 0 0 0 4 4 4 0 0 0 0 0 4 4 0 4 0 4 0 0 4 4 0 0 4 4 0 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 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 4 4 0 4 0 4 4 0 4 4 0 0 4 0 4 0 0 0 0 4 4 0 0 0 4 0 4 0 0 0 4 4 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 0 4 4 0 4 4 0 4 0 4 4 0 0 4 0 4 4 4 4 4 4 0 4 0 0 4 4 0 4 0 0 4 0 4 4 0 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 generates a code of length 72 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+23x^34+16x^35+56x^36+58x^37+117x^38+96x^39+212x^40+256x^41+399x^42+436x^43+599x^44+622x^45+816x^46+798x^47+788x^48+696x^49+499x^50+518x^51+320x^52+308x^53+160x^54+138x^55+70x^56+94x^57+31x^58+66x^59+21x^60+64x^61+114x^62+162x^63+317x^64+668x^65+1096x^66+1872x^67+2662x^68+3842x^69+5035x^70+5654x^71+6068x^72+5688x^73+4988x^74+3880x^75+2860x^76+1836x^77+960x^78+658x^79+336x^80+194x^81+92x^82+54x^83+35x^84+50x^85+18x^86+98x^87+77x^88+146x^89+155x^90+258x^91+309x^92+560x^93+583x^94+758x^95+788x^96+728x^97+772x^98+638x^99+577x^100+442x^101+388x^102+230x^103+227x^104+120x^105+101x^106+52x^107+49x^108+10x^109+33x^110+12x^112+2x^113+4x^114+2x^115 The gray image is a code over GF(2) with n=288, k=16 and d=68. This code was found by Heurico 1.16 in 99.1 seconds.