The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 2 1 6 1 1 6 1 1 1 2 1 1 1 1 4 0 0 1 2 1 1 6 1 1 1 2 1 2 1 1 4 4 1 4 1 0 1 1 1 2 4 1 4 1 1 0 0 2 1 1 1 0 2 2 0 1 1 0 3 1 0 3 1 4 1 1 6 7 1 6 1 5 5 1 6 5 2 1 7 2 3 2 1 1 1 3 1 0 3 1 1 4 1 1 2 1 0 3 1 4 1 1 0 1 0 3 0 4 4 7 1 4 7 2 0 0 4 1 1 2 2 0 0 0 2 0 2 0 2 0 6 2 0 2 4 0 6 2 0 4 2 2 6 4 6 0 6 0 4 4 4 6 0 4 0 4 6 6 0 4 0 0 2 0 2 2 0 2 6 6 0 6 2 4 4 6 2 6 2 0 6 4 2 2 0 2 2 4 2 0 0 0 0 2 2 6 2 0 0 0 6 2 4 6 0 6 4 4 6 2 6 0 4 2 4 6 0 6 6 6 4 6 4 6 6 6 6 2 6 6 0 0 6 4 6 2 4 4 2 6 0 4 6 2 4 6 0 0 4 6 6 0 2 4 0 2 4 0 0 0 0 0 4 0 0 0 0 4 4 0 4 4 0 4 4 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 4 4 0 4 4 4 0 4 0 4 4 0 4 4 4 0 0 0 0 0 4 0 4 0 0 0 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 4 4 0 4 4 4 4 4 0 0 0 0 4 0 4 0 0 0 0 4 4 4 0 0 4 4 4 4 0 0 0 0 0 4 4 4 4 0 4 0 0 0 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 0 0 4 0 4 0 0 4 4 0 0 0 4 0 4 0 4 4 4 0 4 0 0 4 4 4 4 4 0 4 0 4 0 4 0 0 4 4 0 0 0 4 4 4 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 0 4 4 4 4 4 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 0 4 4 4 4 0 4 0 0 0 0 4 4 0 0 4 0 4 4 0 4 0 0 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 4 4 4 0 4 0 4 0 0 4 4 4 0 0 4 4 0 4 4 0 0 4 4 0 4 0 0 4 0 4 0 0 4 0 0 4 4 4 0 4 4 4 4 generates a code of length 68 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+123x^56+16x^57+404x^58+128x^59+985x^60+456x^61+1624x^62+1060x^63+2235x^64+1904x^65+3039x^66+2560x^67+3590x^68+2592x^69+3167x^70+1960x^71+2389x^72+1024x^73+1536x^74+416x^75+765x^76+152x^77+388x^78+20x^79+130x^80+76x^82+20x^84+4x^86+2x^88+1x^98+1x^102 The gray image is a code over GF(2) with n=272, k=15 and d=112. This code was found by Heurico 1.16 in 47.6 seconds.