The generator matrix 1 0 1 1 1 0 1 1 0 1 1 4 1 0 1 1 1 1 1 2 1 1 0 1 1 4 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 1 1 0 1 1 0 1 1 0 3 1 4 7 1 3 1 4 0 3 4 7 0 4 3 1 0 3 1 4 4 0 0 6 0 7 0 0 0 6 0 0 0 2 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 4 0 2 0 0 0 4 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 0 2 2 0 0 0 2 2 0 0 4 0 2 2 0 2 2 2 2 2 2 0 2 0 0 2 0 0 4 2 0 0 2 0 0 4 2 0 0 0 2 0 4 0 2 0 0 0 2 0 0 4 4 0 2 0 0 0 4 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 0 2 2 0 0 0 0 4 2 4 2 0 2 2 0 0 0 0 0 0 6 2 2 0 0 4 2 4 0 2 0 0 0 0 4 2 0 0 0 0 0 4 0 0 0 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 2 6 6 2 0 2 2 2 2 0 0 4 0 0 0 0 0 0 2 2 0 4 0 0 2 2 2 2 4 0 2 0 2 4 2 0 0 2 0 0 0 0 0 2 0 0 4 0 0 0 4 0 0 4 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 0 0 4 0 0 0 4 0 4 4 0 4 4 0 4 4 0 0 0 4 4 4 4 4 4 0 4 4 0 4 0 0 0 0 0 4 4 0 0 0 0 0 0 0 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 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 4 0 4 0 4 4 0 0 0 0 0 4 0 4 0 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 0 4 4 4 0 0 0 4 0 0 4 4 4 4 0 0 4 0 4 0 0 4 4 0 4 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 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 0 4 0 4 4 4 0 0 4 4 4 0 4 4 4 4 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 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 generates a code of length 86 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+9x^34+6x^35+12x^36+22x^37+10x^38+46x^39+21x^40+42x^41+35x^42+78x^43+85x^44+142x^45+129x^46+174x^47+179x^48+216x^49+273x^50+282x^51+364x^52+376x^53+436x^54+350x^55+477x^56+478x^57+453x^58+366x^59+433x^60+478x^61+389x^62+264x^63+328x^64+350x^65+198x^66+160x^67+114x^68+166x^69+102x^70+74x^71+46x^72+94x^73+78x^74+114x^75+158x^76+282x^77+260x^78+488x^79+700x^80+1044x^81+1928x^82+3540x^83+5114x^84+6538x^85+8270x^86+7066x^87+4968x^88+3320x^89+1852x^90+1272x^91+644x^92+438x^93+358x^94+258x^95+166x^96+98x^97+78x^98+74x^99+74x^100+104x^101+59x^102+134x^103+116x^104+218x^105+198x^106+210x^107+282x^108+466x^109+431x^110+328x^111+452x^112+502x^113+492x^114+366x^115+476x^116+394x^117+387x^118+304x^119+370x^120+276x^121+305x^122+212x^123+193x^124+206x^125+117x^126+124x^127+62x^128+94x^129+28x^130+72x^131+24x^132+36x^133+19x^134+22x^135+10x^136+4x^137+1x^138+2x^140+1x^150+1x^156 The gray image is a code over GF(2) with n=344, k=16 and d=68. This code was found by Heurico 1.16 in 97.8 seconds.