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 1 1 1 1 2 4 1 1 1 2 2 0 1 1 2 0 4 2 1 0 2 4 1 2 0 1 2 0 1 1 4 2 1 0 2 2 1 2 1 1 0 2 0 0 0 2 6 2 0 4 0 2 0 6 2 4 2 0 2 4 0 2 4 4 4 0 2 2 2 6 6 2 2 2 6 2 6 0 0 6 4 0 2 2 4 6 2 6 2 2 0 2 2 4 0 6 0 0 0 2 2 2 6 6 2 4 0 0 0 2 0 2 2 6 0 0 0 2 4 2 2 4 6 2 4 0 4 2 6 0 2 0 6 6 0 6 2 2 2 6 6 0 0 4 0 4 4 6 2 0 0 6 2 0 4 2 6 4 6 4 4 4 4 4 2 2 0 0 4 6 0 6 2 0 0 0 0 2 2 0 6 2 0 2 4 0 6 2 2 4 0 2 6 4 2 6 4 0 2 6 2 6 0 0 0 0 4 4 0 4 0 6 2 4 6 6 4 6 6 2 4 0 4 2 6 0 2 6 2 0 0 0 0 2 6 0 2 4 6 0 0 0 0 0 0 4 0 0 0 4 4 4 0 0 0 0 0 0 0 0 4 4 4 0 4 4 0 4 0 0 4 4 0 4 0 4 0 4 4 4 0 4 0 0 0 4 0 0 0 4 0 4 4 4 0 0 0 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 4 0 0 4 0 4 4 4 4 0 4 0 0 0 0 0 4 4 0 0 4 0 0 4 0 4 0 4 0 4 0 4 0 4 4 0 4 4 0 4 4 4 4 0 4 0 4 0 4 0 4 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 0 4 4 4 0 4 0 0 4 0 4 4 4 0 0 4 0 0 4 4 4 0 4 0 0 4 4 4 0 4 4 0 0 0 4 0 4 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 0 0 0 0 4 0 4 0 4 4 4 0 4 4 4 0 4 0 0 4 0 0 0 4 4 4 4 0 0 0 4 4 0 4 0 4 0 0 4 4 0 0 4 0 0 4 0 0 4 4 0 0 0 0 0 generates a code of length 67 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+27x^56+62x^57+145x^58+202x^59+269x^60+358x^61+355x^62+474x^63+564x^64+588x^65+756x^66+746x^67+709x^68+622x^69+506x^70+450x^71+341x^72+344x^73+203x^74+140x^75+103x^76+68x^77+63x^78+28x^79+27x^80+6x^81+14x^82+8x^83+7x^84+4x^86+2x^90 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 4.6 seconds.