The generator matrix 1 0 0 0 0 1 1 1 4 0 1 6 1 1 1 6 2 1 1 6 0 1 1 0 2 1 1 0 1 2 6 2 1 1 1 2 6 0 1 4 1 0 1 1 1 1 6 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 0 1 0 0 0 1 0 2 1 1 5 4 5 3 2 1 0 0 1 6 1 7 1 4 1 3 2 2 4 1 1 4 6 5 4 1 2 2 7 1 2 0 7 0 3 4 1 2 4 4 2 4 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 1 0 0 1 2 3 6 3 0 1 3 0 7 3 4 4 5 4 3 6 6 4 2 1 5 1 7 5 4 1 6 1 2 1 1 1 0 3 4 1 0 1 3 0 0 2 2 2 2 0 0 0 0 2 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 1 0 1 3 1 3 1 3 7 6 2 6 2 0 7 4 0 6 0 7 1 1 3 5 4 6 7 2 5 4 1 7 1 6 5 2 0 0 4 3 2 0 1 1 1 0 2 2 2 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 1 1 5 4 1 2 0 3 6 5 3 1 2 5 4 1 1 1 0 6 5 7 6 4 7 2 6 7 4 0 2 5 5 4 4 2 3 3 1 0 7 0 2 3 3 2 2 0 0 2 0 0 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 4 4 0 0 4 4 0 0 0 4 4 4 0 4 4 0 4 0 4 4 0 4 4 0 0 4 4 4 0 0 0 4 0 4 4 0 0 0 4 4 0 0 4 4 4 4 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+32x^45+25x^46+58x^47+79x^48+102x^49+156x^50+192x^51+328x^52+368x^53+517x^54+560x^55+706x^56+550x^57+670x^58+690x^59+760x^60+542x^61+557x^62+344x^63+305x^64+208x^65+156x^66+178x^67+181x^68+336x^69+503x^70+880x^71+1381x^72+1944x^73+3092x^74+3702x^75+4769x^76+5104x^77+5514x^78+5070x^79+4826x^80+3972x^81+2858x^82+2034x^83+1392x^84+798x^85+508x^86+258x^87+213x^88+170x^89+209x^90+214x^91+338x^92+364x^93+541x^94+472x^95+711x^96+642x^97+719x^98+654x^99+656x^100+556x^101+481x^102+364x^103+361x^104+238x^105+159x^106+96x^107+78x^108+36x^109+34x^110+10x^111+1x^112+6x^113+4x^114+2x^116+1x^122 The gray image is a code over GF(2) with n=312, k=16 and d=90. This code was found by Heurico 1.16 in 99.2 seconds.