The generator matrix 1 0 1 1 1 0 1 1 0 1 1 4 1 1 0 1 1 1 1 0 4 2 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 1 1 1 1 1 1 0 1 1 0 1 1 0 3 1 4 7 1 0 3 1 0 3 3 4 1 1 4 0 1 4 0 0 0 4 0 0 7 0 0 0 2 0 0 0 2 0 3 0 0 2 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 4 0 2 0 0 4 4 0 2 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 0 2 2 0 0 0 2 0 0 0 0 2 0 4 2 0 0 0 2 2 0 4 0 2 0 0 4 0 2 0 0 2 4 0 0 2 0 0 4 2 0 0 0 2 0 0 2 2 0 0 4 0 2 2 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 0 0 2 2 0 0 0 2 0 2 0 0 0 2 0 4 4 2 0 0 0 2 0 2 4 0 0 0 2 4 4 0 2 0 0 4 0 2 0 0 0 4 0 4 0 0 0 0 0 2 0 0 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 2 6 6 2 0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 2 0 2 2 6 0 0 2 0 0 0 0 2 0 0 0 0 2 0 4 0 2 0 0 0 0 2 0 4 0 0 0 4 0 0 0 0 2 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 0 4 4 0 4 4 4 0 4 4 0 0 4 0 4 0 0 0 0 4 0 4 0 0 0 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 4 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 0 0 0 0 0 0 4 0 0 0 4 4 4 0 4 4 0 0 0 0 4 0 4 4 0 0 4 4 0 4 4 0 4 0 0 0 4 4 0 4 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 0 0 0 0 0 4 0 4 4 0 0 0 4 4 4 4 4 0 4 0 4 4 0 0 0 0 4 0 0 0 4 4 0 0 0 0 4 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 0 0 0 0 0 0 0 4 4 0 4 0 4 0 0 4 0 4 0 4 0 4 0 4 4 0 4 0 4 4 0 4 0 4 4 0 0 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 generates a code of length 90 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+15x^34+10x^35+5x^36+4x^37+16x^38+4x^39+22x^40+4x^41+43x^42+22x^43+49x^44+32x^45+53x^46+38x^47+119x^48+40x^49+212x^50+70x^51+265x^52+110x^53+293x^54+106x^55+357x^56+122x^57+526x^58+214x^59+537x^60+190x^61+586x^62+190x^63+767x^64+248x^65+655x^66+162x^67+580x^68+164x^69+425x^70+138x^71+299x^72+116x^73+207x^74+88x^75+176x^76+102x^77+313x^78+124x^79+403x^80+196x^81+712x^82+326x^83+1306x^84+856x^85+2470x^86+2936x^87+5066x^88+5690x^89+7880x^90+5696x^91+5204x^92+2904x^93+2512x^94+810x^95+1240x^96+344x^97+738x^98+214x^99+395x^100+122x^101+247x^102+116x^103+217x^104+78x^105+184x^106+108x^107+236x^108+138x^109+498x^110+154x^111+577x^112+208x^113+686x^114+210x^115+796x^116+198x^117+633x^118+214x^119+501x^120+186x^121+491x^122+152x^123+392x^124+112x^125+292x^126+90x^127+262x^128+56x^129+187x^130+50x^131+113x^132+54x^133+64x^134+34x^135+48x^136+8x^137+43x^138+4x^139+18x^140+6x^141+6x^142+6x^143+16x^144+4x^146+2x^147+1x^160+1x^162 The gray image is a code over GF(2) with n=360, k=16 and d=68. This code was found by Heurico 1.16 in 99.7 seconds.