The generator matrix 1 0 0 1 1 1 2 1 1 6 1 4 1 6 4 1 1 4 1 1 0 0 1 1 2 1 1 6 1 1 6 1 1 0 1 1 6 1 1 2 1 1 2 1 1 4 0 1 0 1 2 1 4 1 1 0 1 1 1 4 0 1 1 1 1 0 0 1 0 2 1 3 1 0 6 4 7 1 3 1 2 7 0 1 6 7 1 1 5 4 1 6 2 2 1 3 1 2 7 1 6 1 6 5 5 1 2 4 1 1 0 1 1 0 1 2 0 4 6 0 1 4 0 5 1 0 2 7 3 1 4 1 0 0 1 1 3 6 1 6 3 1 1 1 0 0 1 7 3 2 0 2 1 3 4 1 2 6 7 1 1 4 7 1 5 7 0 2 1 2 3 7 6 5 1 5 0 5 7 7 6 3 1 4 1 2 6 1 5 1 7 1 1 0 5 2 6 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 4 4 4 0 4 4 4 4 0 4 0 0 0 4 0 0 0 4 4 0 4 0 4 0 4 4 4 4 4 4 4 0 0 4 0 4 4 4 4 0 0 4 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 4 0 4 0 0 0 0 4 4 4 0 0 0 4 4 0 4 4 4 0 0 4 0 4 4 0 0 4 4 0 0 0 0 0 4 4 0 4 0 0 0 0 0 4 4 4 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 0 0 0 0 0 4 4 4 0 0 4 0 4 4 4 4 4 4 4 0 0 0 4 0 4 4 4 4 4 0 0 4 0 4 4 0 4 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 4 4 0 0 4 4 4 0 4 4 0 0 4 0 4 4 0 0 4 4 4 0 0 4 4 0 4 0 0 4 0 4 4 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 0 4 4 0 4 0 0 0 0 4 0 4 0 4 4 0 4 4 0 0 0 0 4 4 4 4 0 0 0 4 0 0 4 0 0 4 0 0 0 0 4 4 4 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 4 0 4 4 4 4 0 0 0 4 4 4 4 4 4 0 4 4 4 0 4 0 4 4 4 0 4 4 0 4 4 4 0 4 0 4 4 0 0 4 4 0 0 4 0 0 0 0 4 0 0 generates a code of length 66 over Z8 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+279x^56+926x^58+2567x^60+3816x^62+5528x^64+6416x^66+5913x^68+3824x^70+2227x^72+830x^74+321x^76+56x^78+43x^80+4x^82+15x^84+2x^88 The gray image is a code over GF(2) with n=264, k=15 and d=112. This code was found by Heurico 1.16 in 47.7 seconds.