The generator matrix 1 0 1 1 1 0 1 1 4 1 1 0 1 6 1 2 2 4 1 1 1 1 2 2 2 2 1 1 1 1 4 1 1 2 1 2 1 4 6 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 0 1 1 0 1 1 0 3 1 0 5 1 1 1 0 0 6 1 3 4 0 6 6 0 1 4 5 6 7 3 2 6 0 4 6 4 5 1 1 1 0 0 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 2 0 0 0 2 2 2 0 0 2 4 2 4 0 0 4 6 4 2 2 4 0 6 2 4 6 6 2 4 2 4 2 6 4 6 4 4 4 6 0 4 4 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 2 0 0 2 0 0 2 4 4 2 6 6 4 0 6 2 0 2 4 4 2 4 4 6 4 4 6 6 6 6 6 6 0 0 6 6 0 2 6 6 2 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 2 0 2 2 2 6 2 4 2 2 0 4 4 4 4 4 4 6 6 0 4 4 2 4 6 0 6 0 6 0 2 6 6 2 2 6 2 2 0 6 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 2 2 0 2 4 2 6 6 2 6 4 0 0 4 6 6 0 2 6 0 4 0 6 6 4 6 4 4 2 2 0 0 6 4 4 2 4 2 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 4 0 4 4 0 4 0 0 4 4 0 4 0 0 4 0 4 0 4 4 4 0 4 4 0 0 0 4 0 4 0 0 4 0 4 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 4 4 4 4 4 0 4 4 0 4 0 4 0 0 0 0 4 4 0 0 4 0 0 4 4 0 4 0 4 0 0 4 0 4 0 0 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 generates a code of length 68 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+12x^34+12x^35+27x^36+50x^37+95x^38+138x^39+180x^40+234x^41+285x^42+456x^43+459x^44+544x^45+679x^46+614x^47+629x^48+696x^49+622x^50+512x^51+535x^52+358x^53+267x^54+250x^55+214x^56+216x^57+185x^58+244x^59+357x^60+634x^61+993x^62+1972x^63+2632x^64+3852x^65+5088x^66+5542x^67+6322x^68+5722x^69+4976x^70+3848x^71+2628x^72+1860x^73+1050x^74+712x^75+338x^76+222x^77+173x^78+202x^79+214x^80+254x^81+283x^82+386x^83+538x^84+510x^85+661x^86+628x^87+632x^88+678x^89+621x^90+540x^91+466x^92+432x^93+291x^94+268x^95+170x^96+114x^97+81x^98+60x^99+38x^100+8x^101+17x^102+4x^104+5x^106 The gray image is a code over GF(2) with n=272, k=16 and d=68. This code was found by Heurico 1.16 in 100 seconds.