The generator matrix 1 0 1 1 1 0 1 1 0 1 4 1 1 1 0 1 1 4 2 1 1 4 1 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 0 1 1 0 1 1 0 7 1 4 1 3 4 3 1 3 4 1 4 0 3 1 6 0 4 3 3 4 2 7 4 0 4 7 2 0 0 4 0 6 0 0 0 2 0 0 0 2 0 0 0 0 2 0 0 0 4 2 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 4 2 2 0 0 6 4 6 2 2 0 4 0 2 0 2 4 6 0 2 0 2 0 0 2 2 2 0 0 0 2 0 4 0 2 0 0 2 2 0 0 0 2 2 0 0 0 6 2 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 0 2 4 6 6 0 0 6 4 6 6 0 2 4 4 4 4 6 2 6 2 0 4 2 0 6 0 2 0 2 0 2 0 0 0 4 4 0 0 0 2 0 0 0 2 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 0 0 0 2 0 0 2 6 2 0 4 2 6 2 6 4 0 0 2 0 4 4 2 4 4 2 0 2 6 6 4 2 0 0 2 6 2 0 0 0 0 4 0 0 0 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 2 0 6 6 0 6 0 2 4 4 6 2 6 0 2 2 0 2 6 0 2 2 2 2 6 4 0 0 0 2 2 4 2 2 0 0 0 4 0 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 2 6 4 6 4 6 2 0 4 2 4 6 2 0 2 6 4 2 2 0 0 4 0 0 2 2 4 2 2 0 2 0 2 6 0 0 4 0 0 0 0 4 0 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 generates a code of length 78 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+20x^34+6x^35+17x^36+2x^37+39x^38+16x^39+50x^40+32x^41+99x^42+76x^43+213x^44+242x^45+300x^46+346x^47+469x^48+508x^49+614x^50+656x^51+623x^52+670x^53+627x^54+562x^55+438x^56+468x^57+281x^58+254x^59+217x^60+170x^61+70x^62+72x^63+36x^64+54x^65+62x^66+92x^67+108x^68+212x^69+308x^70+596x^71+720x^72+1314x^73+2248x^74+3692x^75+5100x^76+6324x^77+7404x^78+6370x^79+5094x^80+3752x^81+2312x^82+1242x^83+734x^84+546x^85+294x^86+272x^87+120x^88+102x^89+42x^90+42x^91+26x^92+64x^93+78x^94+144x^95+188x^96+262x^97+288x^98+512x^99+525x^100+580x^101+615x^102+678x^103+573x^104+564x^105+584x^106+564x^107+465x^108+342x^109+304x^110+212x^111+207x^112+94x^113+118x^114+40x^115+64x^116+16x^117+50x^118+4x^119+12x^120+2x^121+6x^122+3x^126+1x^130+1x^138 The gray image is a code over GF(2) with n=312, k=16 and d=68. This code was found by Heurico 1.16 in 98.6 seconds.