The generator matrix 1 0 1 1 1 0 1 1 0 1 4 1 1 1 0 1 1 4 2 1 1 4 1 0 1 1 1 1 4 0 1 4 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 0 1 1 0 1 1 0 7 1 4 1 3 4 3 1 3 4 1 4 0 3 1 0 1 7 0 2 7 1 1 7 1 1 4 4 7 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 2 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 0 0 0 2 0 4 2 2 0 0 6 4 6 2 2 0 4 0 4 2 6 0 2 2 0 2 0 0 2 0 2 0 0 2 0 0 4 0 2 0 0 0 2 0 4 0 2 0 0 0 2 2 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 2 0 0 0 2 4 6 6 0 0 6 4 6 6 0 2 4 4 4 2 2 4 6 6 2 0 4 0 2 0 2 0 2 0 2 0 0 4 0 0 0 0 0 0 0 4 4 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 0 0 0 2 0 0 2 6 2 0 4 2 6 2 6 4 0 0 2 0 4 2 0 0 6 6 0 2 4 4 0 6 2 2 0 2 0 0 0 2 0 0 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 0 2 0 6 6 0 6 0 2 4 4 6 2 6 0 2 2 0 2 2 4 0 4 4 0 2 4 0 6 2 2 2 0 2 2 0 2 0 0 0 4 0 4 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 2 6 4 6 4 6 2 0 4 2 4 6 2 0 2 6 6 2 0 0 4 2 4 0 6 0 0 0 0 6 2 2 2 0 0 0 0 0 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 generates a code of length 79 over Z8 who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+6x^33+17x^34+4x^35+24x^36+12x^37+27x^38+50x^39+118x^40+98x^41+124x^42+196x^43+350x^44+306x^45+481x^46+494x^47+713x^48+644x^49+668x^50+720x^51+712x^52+674x^53+406x^54+414x^55+236x^56+240x^57+127x^58+160x^59+44x^60+64x^61+30x^62+14x^63+10x^64+20x^65+22x^66+36x^67+58x^68+98x^69+138x^70+260x^71+444x^72+824x^73+1436x^74+2386x^75+3802x^76+5196x^77+6446x^78+6884x^79+6346x^80+5266x^81+3770x^82+2376x^83+1472x^84+832x^85+434x^86+248x^87+148x^88+104x^89+44x^90+26x^91+14x^92+22x^93+20x^94+18x^95+36x^96+46x^97+56x^98+144x^99+124x^100+308x^101+229x^102+414x^103+433x^104+622x^105+686x^106+708x^107+698x^108+620x^109+675x^110+534x^111+474x^112+334x^113+315x^114+182x^115+190x^116+100x^117+84x^118+44x^119+52x^120+12x^121+18x^122+6x^123+11x^124+1x^126+2x^127+1x^128+1x^130+1x^132+1x^134 The gray image is a code over GF(2) with n=316, k=16 and d=66. This code was found by Heurico 1.16 in 98.3 seconds.