The generator matrix 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 2 0 2 4 1 1 1 2 4 1 1 2 2 2 1 1 4 1 1 1 1 2 1 1 2 0 4 2 1 4 2 1 2 1 0 1 2 1 1 1 0 2 0 2 0 0 2 6 0 4 2 0 6 4 6 2 6 0 2 0 2 4 0 2 0 4 2 6 2 2 2 6 0 6 2 2 0 4 4 2 6 6 2 2 2 4 2 2 2 4 4 4 2 2 4 4 2 4 2 0 6 2 6 2 2 2 0 0 0 2 2 0 6 2 0 0 2 2 4 4 6 2 4 0 0 2 0 2 2 6 0 4 2 0 0 0 6 2 4 0 0 2 6 6 0 2 6 4 6 2 0 2 6 4 2 6 2 4 2 4 0 2 0 6 6 4 6 6 2 2 0 4 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 4 4 4 4 4 0 4 0 0 4 0 4 4 0 4 0 4 0 0 4 0 0 4 4 0 4 0 0 4 0 0 4 4 4 0 4 4 0 4 0 4 4 4 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 0 4 4 4 4 4 0 4 0 0 0 4 4 0 0 4 0 4 4 0 0 4 0 4 0 4 4 4 0 4 0 4 4 0 4 4 0 4 0 4 0 4 4 4 4 0 4 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 4 4 0 4 4 0 4 0 4 0 4 4 0 0 4 0 4 0 4 0 4 4 0 0 0 4 4 0 4 0 4 0 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 4 4 0 4 0 4 4 0 4 4 4 0 0 0 4 4 0 4 0 0 4 0 4 4 4 0 4 4 4 4 0 0 0 4 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 0 4 0 0 4 4 0 4 0 0 0 4 4 4 0 4 0 4 4 4 4 0 4 4 4 0 4 4 4 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 0 4 0 4 4 0 0 4 0 4 4 4 4 4 0 4 0 0 4 0 0 4 0 4 4 0 4 0 4 4 4 4 4 0 0 0 0 4 0 4 4 4 4 generates a code of length 67 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+46x^56+68x^57+134x^58+126x^59+249x^60+338x^61+390x^62+384x^63+546x^64+908x^65+711x^66+494x^67+730x^68+920x^69+548x^70+340x^71+329x^72+272x^73+198x^74+158x^75+98x^76+54x^77+51x^78+28x^79+37x^80+11x^82+6x^83+10x^84+2x^86+1x^88+2x^90+1x^92+1x^94 The gray image is a code over GF(2) with n=268, k=13 and d=112. This code was found by Heurico 1.16 in 4.86 seconds.