The generator matrix 1 0 0 1 1 1 2 0 1 1 4 1 1 6 0 1 1 1 0 1 1 6 1 1 1 1 2 2 1 1 1 1 1 1 1 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 2 3 1 0 0 1 1 6 3 1 0 0 1 3 1 3 6 1 7 2 0 6 4 1 0 1 0 0 6 0 5 1 0 0 4 0 0 0 0 0 0 2 2 0 1 0 0 2 0 2 1 0 2 0 0 2 0 0 4 2 0 4 4 0 2 0 4 4 2 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 2 1 0 0 0 2 0 0 2 0 0 2 1 2 0 1 0 2 2 0 1 1 2 2 0 0 0 0 0 0 0 0 4 0 2 2 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 2 0 6 0 6 6 0 2 2 0 2 0 0 0 0 0 4 2 2 2 0 0 2 2 0 0 0 4 0 2 2 2 2 0 0 0 4 0 2 0 0 2 4 0 0 0 4 2 0 0 0 4 2 0 0 0 2 0 4 2 2 0 0 2 2 0 0 0 2 2 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 4 0 4 0 0 4 0 0 4 4 0 4 0 0 0 4 4 4 0 4 4 4 0 0 0 4 0 0 4 0 0 4 4 0 0 4 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 4 0 0 0 0 4 4 0 4 4 0 0 4 4 4 4 4 4 4 0 4 4 0 4 4 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 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 4 4 4 4 4 0 0 0 0 4 0 4 4 4 4 0 4 0 0 0 0 4 0 0 0 4 0 4 0 4 4 4 0 4 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 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 4 4 0 4 4 4 4 0 4 4 0 4 4 0 0 4 4 4 0 4 0 0 0 0 0 0 0 4 0 4 0 4 0 0 0 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 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 4 0 4 0 0 4 4 4 4 0 4 0 4 4 0 0 4 0 4 4 0 0 0 0 0 0 4 4 0 0 0 0 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 96 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+13x^40+4x^41+8x^42+13x^44+2x^45+19x^46+6x^47+20x^48+31x^50+18x^51+50x^52+14x^53+66x^54+44x^55+132x^56+58x^57+176x^58+128x^59+247x^60+182x^61+333x^62+226x^63+294x^64+350x^65+378x^66+380x^67+373x^68+394x^69+407x^70+568x^71+428x^72+568x^73+378x^74+378x^75+318x^76+352x^77+180x^78+226x^79+141x^80+126x^81+85x^82+152x^83+91x^84+174x^85+183x^86+378x^87+599x^88+708x^89+1250x^90+1512x^91+2812x^92+3050x^93+5184x^94+4300x^95+8376x^96+4322x^97+5284x^98+3080x^99+2848x^100+1576x^101+1166x^102+724x^103+574x^104+342x^105+216x^106+166x^107+118x^108+142x^109+95x^110+138x^111+106x^112+262x^113+187x^114+350x^115+282x^116+346x^117+393x^118+492x^119+459x^120+518x^121+434x^122+502x^123+398x^124+408x^125+287x^126+316x^127+321x^128+252x^129+318x^130+156x^131+202x^132+120x^133+223x^134+70x^135+150x^136+38x^137+74x^138+26x^139+55x^140+24x^141+30x^142+14x^144+4x^145+9x^146+12x^148+10x^150+2x^152+4x^154+5x^156+1x^160+1x^168 The gray image is a code over GF(2) with n=384, k=16 and d=80. This code was found by Heurico 1.16 in 99.5 seconds.