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 1 1 0 2 2 1 1 1 1 1 2 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 0 1 1 0 1 1 0 3 1 4 7 1 3 1 4 3 0 2 7 0 4 3 1 0 4 3 0 1 0 2 7 4 2 3 3 0 1 4 0 7 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 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 4 0 0 2 2 0 0 4 4 6 6 4 0 0 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 0 0 4 2 0 0 0 2 0 0 4 2 0 0 0 0 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 6 6 0 4 0 0 0 6 0 6 4 4 6 6 0 2 0 0 0 0 4 2 2 2 2 2 2 0 0 0 2 0 4 0 0 0 0 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 2 6 6 2 0 2 2 2 2 4 0 4 0 4 0 4 4 0 2 2 4 6 6 0 4 4 2 2 0 4 0 0 2 2 6 0 2 0 0 2 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 0 0 0 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 0 0 0 4 0 4 0 4 4 0 4 4 4 4 4 0 0 0 0 0 4 4 0 0 0 0 0 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 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 4 4 0 0 0 4 4 4 4 0 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 0 4 0 4 0 4 4 0 4 4 0 4 0 4 0 0 0 0 4 0 0 4 4 0 4 0 4 4 4 4 4 0 0 0 0 4 4 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 0 0 0 0 0 0 0 0 0 4 4 0 0 4 4 0 0 0 4 4 4 4 4 0 0 4 4 4 0 0 4 4 4 0 4 4 4 0 4 0 4 4 4 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 0 0 generates a code of length 81 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+7x^34+12x^35+18x^36+18x^37+42x^38+48x^39+47x^40+62x^41+78x^42+82x^43+178x^44+204x^45+288x^46+304x^47+357x^48+438x^49+457x^50+542x^51+488x^52+574x^53+572x^54+596x^55+534x^56+484x^57+387x^58+336x^59+288x^60+208x^61+186x^62+100x^63+122x^64+50x^65+30x^66+50x^67+60x^68+92x^69+124x^70+144x^71+227x^72+404x^73+539x^74+1022x^75+1608x^76+2428x^77+3712x^78+4792x^79+6008x^80+6866x^81+5988x^82+4650x^83+3768x^84+2512x^85+1660x^86+974x^87+528x^88+420x^89+236x^90+152x^91+94x^92+96x^93+44x^94+56x^95+64x^96+60x^97+68x^98+118x^99+148x^100+204x^101+323x^102+326x^103+436x^104+518x^105+512x^106+554x^107+593x^108+560x^109+536x^110+544x^111+435x^112+388x^113+337x^114+308x^115+249x^116+192x^117+186x^118+120x^119+96x^120+100x^121+63x^122+30x^123+27x^124+16x^125+6x^126+12x^127+9x^128+2x^129+1x^130+1x^132+1x^134+1x^138 The gray image is a code over GF(2) with n=324, k=16 and d=68. This code was found by Heurico 1.16 in 97.3 seconds.