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 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 0 7 4 4 0 0 0 7 0 0 4 4 0 0 0 2 0 0 0 2 0 0 2 0 4 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 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 2 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 4 2 0 0 4 0 0 2 0 2 0 4 0 2 0 0 2 4 0 0 2 0 0 4 2 0 0 0 2 0 4 2 2 0 0 0 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 0 2 0 0 0 0 0 0 2 2 0 2 0 2 4 2 4 0 2 0 6 0 0 2 4 0 0 4 0 0 0 4 0 4 0 0 6 0 0 4 0 0 4 0 0 0 4 2 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 0 0 0 2 0 2 2 2 2 2 2 2 0 0 4 2 0 0 2 4 0 2 0 0 4 0 0 0 0 0 0 4 4 0 2 0 6 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 4 0 0 0 4 0 4 4 0 4 4 4 4 4 4 4 4 0 0 4 0 4 0 0 0 4 4 4 4 0 4 4 4 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 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 4 0 0 4 0 0 0 4 0 4 4 0 0 0 0 4 0 4 4 4 0 4 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 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 4 0 4 0 4 0 4 4 4 0 0 0 0 0 0 4 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 0 0 0 0 0 0 4 4 0 4 0 4 4 0 0 0 4 4 0 4 0 4 4 0 0 0 4 4 4 0 4 0 0 4 4 0 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 89 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+2x^34+10x^35+4x^36+14x^37+14x^38+10x^39+6x^40+36x^41+12x^42+36x^43+15x^44+76x^45+38x^46+132x^47+57x^48+204x^49+71x^50+264x^51+136x^52+368x^53+139x^54+536x^55+172x^56+564x^57+215x^58+692x^59+229x^60+736x^61+236x^62+650x^63+188x^64+630x^65+141x^66+464x^67+130x^68+314x^69+111x^70+196x^71+68x^72+106x^73+49x^74+88x^75+84x^76+90x^77+112x^78+114x^79+308x^80+196x^81+686x^82+488x^83+1812x^84+1556x^85+4096x^86+4338x^87+7266x^88+7002x^89+7270x^90+4148x^91+4004x^92+1698x^93+1826x^94+508x^95+748x^96+190x^97+302x^98+120x^99+136x^100+74x^101+52x^102+104x^103+54x^104+108x^105+64x^106+200x^107+62x^108+312x^109+146x^110+434x^111+170x^112+606x^113+181x^114+706x^115+252x^116+724x^117+246x^118+616x^119+192x^120+624x^121+175x^122+546x^123+156x^124+342x^125+109x^126+266x^127+79x^128+204x^129+58x^130+136x^131+30x^132+74x^133+20x^134+64x^135+18x^136+24x^137+5x^138+6x^139+5x^140+22x^141+6x^142+1x^144+2x^145+1x^146+1x^156+1x^158 The gray image is a code over GF(2) with n=356, k=16 and d=68. This code was found by Heurico 1.16 in 99 seconds.