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 1 1 2 2 1 1 1 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 0 1 1 0 1 1 0 3 1 4 7 1 3 1 4 3 0 4 7 0 4 3 1 0 3 0 2 1 0 4 0 4 3 4 3 0 7 4 2 0 4 2 0 4 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 4 2 0 4 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 0 0 4 2 2 0 0 4 0 2 2 2 2 0 2 2 0 0 0 2 0 4 2 0 2 0 0 2 0 0 4 2 0 0 0 2 0 4 0 2 0 0 0 2 0 0 4 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 2 0 6 6 2 6 0 2 0 0 2 6 4 4 0 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 6 2 4 2 2 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0 0 4 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 6 6 2 0 2 2 2 2 0 4 4 0 0 0 0 4 4 2 6 0 0 4 0 4 2 2 0 0 6 2 0 2 0 0 0 2 0 0 2 4 0 0 4 4 0 0 0 0 0 0 4 0 4 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 4 0 0 0 4 4 4 0 0 4 4 4 0 0 0 4 0 0 4 4 4 4 0 4 4 0 0 4 4 0 4 0 0 0 0 0 0 4 4 0 0 0 0 4 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 4 0 0 0 4 4 4 0 4 0 0 0 4 4 4 0 4 0 4 0 4 4 0 4 0 4 0 0 4 0 0 0 0 0 4 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 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 4 0 4 0 4 0 4 4 4 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 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 0 4 0 4 4 0 0 4 0 0 0 0 0 0 4 0 4 0 4 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 generates a code of length 84 over Z8 who´s minimum homogenous weight is 35. Homogenous weight enumerator: w(x)=1x^0+12x^35+3x^36+6x^37+12x^38+28x^39+25x^40+8x^41+42x^42+20x^43+78x^44+80x^45+167x^46+142x^47+165x^48+202x^49+223x^50+342x^51+278x^52+400x^53+365x^54+450x^55+548x^56+574x^57+556x^58+508x^59+540x^60+456x^61+405x^62+374x^63+308x^64+264x^65+221x^66+140x^67+91x^68+58x^69+83x^70+64x^71+51x^72+90x^73+160x^74+242x^75+298x^76+628x^77+788x^78+1560x^79+2066x^80+3700x^81+4922x^82+6024x^83+7994x^84+6000x^85+4894x^86+3790x^87+2074x^88+1600x^89+786x^90+494x^91+274x^92+246x^93+192x^94+144x^95+64x^96+62x^97+54x^98+70x^99+142x^100+154x^101+165x^102+238x^103+333x^104+362x^105+445x^106+506x^107+481x^108+502x^109+567x^110+494x^111+484x^112+438x^113+376x^114+442x^115+342x^116+344x^117+259x^118+234x^119+164x^120+118x^121+110x^122+46x^123+67x^124+68x^125+69x^126+18x^127+18x^128+22x^129+7x^130+2x^131+4x^132+2x^133+2x^134+3x^136+1x^138+1x^146 The gray image is a code over GF(2) with n=336, k=16 and d=70. This code was found by Heurico 1.16 in 98.4 seconds.