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 2 0 1 2 4 1 1 2 1 2 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 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 7 1 7 4 1 3 0 1 4 3 2 3 4 7 4 4 1 4 0 0 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 2 0 6 6 4 0 6 0 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 4 2 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 4 2 4 0 6 4 2 0 0 4 2 4 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 4 2 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 6 4 0 2 2 0 4 4 4 2 0 4 0 6 0 2 0 2 2 0 0 0 0 0 0 0 0 0 4 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 4 0 0 0 4 4 4 0 0 4 4 4 0 0 0 4 0 4 4 4 0 4 0 0 4 4 0 4 0 4 4 4 4 4 4 4 4 4 4 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 0 4 0 0 0 4 4 4 0 4 0 0 0 4 4 4 0 0 4 4 0 4 4 4 0 0 4 0 0 4 4 0 0 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 4 0 4 0 4 4 0 4 4 0 4 0 4 0 0 0 4 0 4 4 0 0 0 0 4 0 4 0 4 0 4 4 4 4 0 4 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 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 4 0 4 4 0 0 4 4 4 4 0 0 4 0 0 4 4 0 4 0 4 0 0 0 0 0 4 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 generates a code of length 80 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+7x^34+6x^35+4x^36+8x^37+14x^38+30x^39+30x^40+84x^41+65x^42+172x^43+109x^44+300x^45+149x^46+600x^47+202x^48+848x^49+287x^50+928x^51+318x^52+1088x^53+252x^54+950x^55+204x^56+548x^57+183x^58+294x^59+113x^60+172x^61+59x^62+84x^63+35x^64+36x^65+26x^66+36x^67+46x^68+46x^69+128x^70+120x^71+426x^72+358x^73+1428x^74+946x^75+3760x^76+1920x^77+7376x^78+2624x^79+10456x^80+2838x^81+7468x^82+2002x^83+3778x^84+802x^85+1356x^86+348x^87+444x^88+150x^89+130x^90+64x^91+44x^92+32x^93+30x^94+40x^95+33x^96+58x^97+67x^98+152x^99+107x^100+322x^101+177x^102+598x^103+237x^104+952x^105+266x^106+1062x^107+278x^108+948x^109+259x^110+744x^111+215x^112+584x^113+169x^114+404x^115+99x^116+170x^117+55x^118+70x^119+35x^120+24x^121+14x^122+14x^123+16x^124+1x^126+2x^128+2x^130 The gray image is a code over GF(2) with n=320, k=16 and d=68. This code was found by Heurico 1.16 in 97.8 seconds.