The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 2 2 0 6 1 1 2 0 1 1 1 4 1 1 1 1 0 1 6 6 1 1 0 1 1 4 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 6 3 1 7 7 1 6 1 0 6 6 2 1 5 7 1 0 0 4 5 1 0 3 1 1 1 2 1 1 3 7 0 1 3 1 0 3 0 0 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 2 0 2 2 0 0 6 4 6 4 4 0 6 6 6 6 4 0 4 0 2 4 0 2 4 4 4 0 0 6 2 0 2 2 2 2 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 2 6 0 0 2 0 4 4 6 4 4 6 0 0 4 6 2 0 4 6 2 2 6 2 4 6 4 2 6 4 4 0 2 2 4 4 4 2 2 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 0 0 4 6 4 4 0 6 6 4 0 6 0 6 0 2 2 0 6 0 0 4 6 2 6 4 0 4 2 2 4 0 6 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 4 0 0 0 0 4 4 0 4 0 4 0 4 4 0 4 4 4 4 4 4 4 0 0 4 4 4 0 4 4 4 4 0 4 4 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 4 0 0 4 0 4 0 4 4 4 4 0 4 0 0 0 4 4 4 0 0 4 0 0 4 0 0 0 0 4 4 0 0 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 4 0 4 4 4 4 4 0 0 4 4 0 0 0 0 4 0 0 4 4 4 0 0 0 0 0 0 4 4 0 4 4 4 4 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 4 4 4 0 0 4 4 0 0 4 4 4 0 4 4 0 0 0 4 4 4 0 0 4 0 4 0 4 0 0 0 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 64 over Z8 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+57x^34+139x^36+4x^37+256x^38+32x^39+511x^40+208x^41+861x^42+448x^43+1244x^44+664x^45+1266x^46+480x^47+873x^48+144x^49+489x^50+64x^51+319x^52+4x^53+358x^54+76x^55+601x^56+360x^57+1517x^58+1268x^59+3122x^60+3384x^61+5696x^62+5168x^63+6274x^64+5128x^65+5736x^66+3360x^67+3218x^68+1320x^69+1503x^70+356x^71+563x^72+48x^73+327x^74+20x^75+317x^76+24x^77+457x^78+232x^79+926x^80+440x^81+1291x^82+600x^83+1201x^84+520x^85+899x^86+184x^87+523x^88+40x^89+207x^90+119x^92+61x^94+16x^96+11x^98+1x^100 The gray image is a code over GF(2) with n=256, k=16 and d=68. This code was found by Heurico 1.16 in 96.9 seconds.