The generator matrix 1 0 1 1 1 0 1 1 0 1 4 1 1 1 4 1 1 4 2 1 1 4 1 1 4 1 1 2 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 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 7 1 4 1 3 0 3 1 7 4 1 0 4 3 1 0 7 1 4 0 0 4 0 2 3 7 4 4 0 2 0 0 6 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 4 2 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 4 2 2 0 0 2 4 2 2 2 0 0 0 0 2 2 0 2 4 2 2 2 0 0 0 0 0 2 0 4 2 0 0 0 2 0 4 0 2 0 0 2 2 0 0 0 2 2 0 0 0 6 2 0 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 0 2 4 6 6 0 0 2 4 6 2 0 2 0 0 0 6 2 0 2 0 4 2 6 0 2 0 2 0 0 0 2 4 0 0 4 0 0 2 4 0 0 0 0 2 0 0 0 4 2 0 0 0 0 2 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 2 6 2 0 4 4 0 6 2 0 2 2 0 2 0 6 2 6 0 0 2 2 4 2 2 0 2 2 0 0 0 0 0 0 4 2 0 2 0 0 0 0 4 0 0 0 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 0 0 0 0 2 0 6 6 0 6 0 6 4 4 2 2 6 0 2 2 0 0 0 4 2 2 0 0 0 2 2 0 2 2 2 0 2 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0 0 4 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 2 6 4 6 4 6 2 6 6 4 0 4 2 4 0 2 0 4 2 2 0 2 0 0 0 6 2 0 6 2 0 0 0 2 0 4 2 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 82 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+26x^34+21x^36+42x^38+46x^40+114x^42+243x^44+352x^46+468x^48+550x^50+664x^52+948x^54+880x^56+2x^57+1010x^58+2x^59+887x^60+6x^61+712x^62+4x^63+529x^64+42x^65+366x^66+78x^67+199x^68+168x^69+80x^70+412x^71+28x^72+702x^73+46x^74+1210x^75+258x^76+2276x^77+1446x^78+4512x^79+3816x^80+6860x^81+5324x^82+7066x^83+3760x^84+4602x^85+1506x^86+2122x^87+240x^88+1266x^89+44x^90+784x^91+46x^92+366x^93+78x^94+180x^95+188x^96+86x^97+368x^98+12x^99+482x^100+6x^101+785x^102+2x^103+820x^104+2x^105+1002x^106+886x^108+942x^110+670x^112+631x^114+422x^116+368x^118+210x^120+115x^122+86x^124+27x^126+16x^128+11x^130+6x^132+1x^134+1x^138+1x^142 The gray image is a code over GF(2) with n=328, k=16 and d=68. This code was found by Heurico 1.16 in 98.9 seconds.