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 2 0 0 2 1 0 2 1 1 4 1 1 1 0 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 6 3 7 0 0 1 1 0 5 1 4 0 0 1 3 3 0 1 4 4 0 0 0 2 0 0 0 2 0 0 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 2 0 0 6 6 0 0 0 2 0 2 2 4 4 4 2 2 4 4 0 0 6 2 0 4 4 2 2 4 6 0 2 2 2 2 2 2 6 0 0 2 0 0 0 2 0 0 0 2 0 0 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 2 0 6 6 2 6 0 2 0 0 6 6 0 4 0 4 4 2 4 2 0 6 2 2 6 2 0 4 4 2 2 2 6 2 0 0 4 0 0 2 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 2 6 6 2 0 2 2 2 2 4 0 4 0 4 0 4 4 4 2 2 4 4 6 6 0 6 4 6 6 2 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 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 4 0 0 0 4 4 4 0 0 4 4 4 0 0 0 4 0 4 0 4 0 0 0 4 4 0 4 4 0 0 0 4 0 4 4 4 0 4 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 4 0 0 0 4 4 4 0 4 0 0 0 4 4 4 0 0 4 4 4 0 4 4 4 4 0 0 0 0 4 4 0 0 4 0 4 4 0 0 0 0 0 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 0 0 4 0 4 0 4 4 0 4 4 0 4 0 4 0 0 0 0 4 4 0 0 0 0 0 4 4 0 4 4 4 4 0 0 0 0 4 0 0 0 0 0 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 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 4 0 4 4 0 0 0 4 0 0 4 4 0 4 0 0 0 4 4 4 0 4 0 0 0 0 4 0 0 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 generates a code of length 79 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+2x^34+8x^35+6x^36+12x^37+18x^38+26x^39+42x^40+42x^41+77x^42+130x^43+134x^44+194x^45+289x^46+306x^47+374x^48+384x^49+434x^50+560x^51+581x^52+648x^53+669x^54+550x^55+548x^56+542x^57+395x^58+362x^59+272x^60+182x^61+141x^62+94x^63+79x^64+50x^65+36x^66+46x^67+67x^68+132x^69+169x^70+328x^71+498x^72+994x^73+1530x^74+2570x^75+3752x^76+4728x^77+6212x^78+6942x^79+6312x^80+4760x^81+3812x^82+2630x^83+1514x^84+1008x^85+494x^86+260x^87+134x^88+140x^89+63x^90+38x^91+54x^92+58x^93+81x^94+98x^95+139x^96+186x^97+229x^98+328x^99+433x^100+572x^101+567x^102+600x^103+657x^104+614x^105+585x^106+524x^107+456x^108+390x^109+395x^110+332x^111+224x^112+168x^113+125x^114+128x^115+79x^116+60x^117+43x^118+32x^119+23x^120+8x^121+16x^122+4x^123+4x^124+2x^126+1x^128 The gray image is a code over GF(2) with n=316, k=16 and d=68. This code was found by Heurico 1.16 in 97.8 seconds.