The generator matrix 1 0 1 1 1 0 1 1 0 1 1 4 1 0 1 1 4 4 1 4 4 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 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 7 1 1 3 1 1 7 4 0 7 0 4 4 7 4 3 0 0 0 7 0 7 4 4 4 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 2 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 6 6 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 2 4 2 2 2 0 2 0 0 2 0 0 4 0 0 4 0 2 0 0 2 0 4 0 2 0 0 4 2 0 0 0 2 0 4 0 2 0 0 0 0 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 0 2 0 6 6 2 6 0 2 0 0 2 0 2 0 0 0 0 4 0 2 6 2 0 0 2 0 0 4 0 0 2 4 2 2 4 0 2 0 4 0 0 4 0 0 0 2 4 0 0 4 0 0 0 4 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 2 6 6 2 0 2 2 2 2 0 0 4 0 2 0 2 6 2 2 2 2 2 0 0 0 2 4 2 0 2 2 2 0 2 6 2 0 4 4 0 0 0 0 0 2 0 0 0 4 4 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 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 4 4 4 4 4 4 4 0 0 0 4 4 0 4 4 4 4 0 4 0 0 4 0 4 0 0 0 4 4 0 0 0 0 0 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 4 0 0 0 4 4 4 0 4 0 0 4 4 0 4 0 4 0 0 0 4 0 0 4 0 4 4 4 0 0 0 4 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 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 0 4 0 4 0 4 0 0 0 4 4 0 4 4 0 4 4 0 4 0 4 0 0 0 0 0 4 0 4 4 4 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 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 4 0 4 4 0 0 0 4 0 4 4 0 4 0 4 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 87 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+10x^34+8x^36+6x^37+7x^38+10x^39+34x^40+36x^41+49x^42+48x^43+64x^44+108x^45+74x^46+140x^47+148x^48+182x^49+233x^50+284x^51+323x^52+320x^53+404x^54+376x^55+432x^56+500x^57+429x^58+430x^59+437x^60+486x^61+452x^62+352x^63+347x^64+350x^65+251x^66+190x^67+187x^68+134x^69+119x^70+82x^71+56x^72+88x^73+72x^74+102x^75+151x^76+234x^77+244x^78+398x^79+698x^80+804x^81+1818x^82+2000x^83+3474x^84+5104x^85+5810x^86+7238x^87+5956x^88+5042x^89+3446x^90+2064x^91+1724x^92+822x^93+788x^94+414x^95+252x^96+208x^97+134x^98+96x^99+70x^100+84x^101+87x^102+92x^103+104x^104+140x^105+188x^106+190x^107+250x^108+336x^109+354x^110+374x^111+372x^112+424x^113+490x^114+422x^115+488x^116+534x^117+377x^118+382x^119+412x^120+362x^121+290x^122+270x^123+238x^124+178x^125+159x^126+118x^127+86x^128+112x^129+63x^130+48x^131+54x^132+38x^133+20x^134+8x^135+14x^136+8x^137+13x^138+4x^140+1x^142+1x^146+1x^154 The gray image is a code over GF(2) with n=348, k=16 and d=68. This code was found by Heurico 1.16 in 98.5 seconds.