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 2 2 2 4 1 1 0 2 2 1 0 2 0 4 1 2 1 1 0 1 4 2 1 1 1 2 0 1 1 0 2 1 1 1 1 0 2 1 1 0 2 1 2 0 1 1 1 4 1 1 1 0 2 0 2 0 0 2 6 0 0 2 6 4 6 4 6 4 2 0 6 0 0 2 2 0 4 2 6 2 2 2 4 6 2 6 6 2 6 0 4 4 2 2 2 0 6 4 6 2 2 2 2 4 0 0 4 2 2 2 2 4 2 0 0 4 4 0 2 6 4 0 2 4 2 0 0 6 2 2 0 0 0 0 2 2 0 6 2 0 0 6 2 0 4 2 2 0 6 6 4 0 4 6 6 4 0 2 2 4 0 2 2 2 0 2 0 6 4 0 6 4 2 2 4 6 6 0 4 2 0 6 2 6 2 4 2 2 2 4 0 0 6 0 0 4 4 2 6 4 0 2 6 0 6 2 2 6 6 2 6 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 0 0 0 4 0 0 0 4 0 4 4 4 0 4 4 0 0 0 4 0 4 4 4 4 0 4 4 4 0 0 0 0 4 0 4 4 0 0 4 4 0 0 4 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 0 4 4 0 4 4 0 4 0 0 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 4 4 4 4 0 0 0 4 4 0 4 0 4 4 0 0 4 0 4 4 4 4 0 4 0 0 4 0 4 0 4 4 0 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 0 4 4 4 0 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 0 0 4 0 0 4 4 0 0 0 0 4 4 4 0 4 0 4 4 0 4 4 4 4 4 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 0 0 0 0 0 0 4 4 0 4 4 4 4 0 0 4 0 0 4 4 4 4 4 0 4 4 0 4 0 4 4 0 0 0 4 0 0 0 0 0 4 0 4 0 4 4 4 4 4 0 4 4 4 0 0 0 0 0 4 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 0 4 4 4 0 0 4 0 4 0 4 0 0 4 4 4 0 4 0 4 4 0 4 0 4 0 4 4 0 4 4 4 0 4 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 0 0 0 0 4 0 4 0 0 4 0 4 0 4 0 4 0 4 0 4 0 4 4 4 0 4 4 4 4 0 0 0 0 0 4 4 4 0 4 4 0 0 4 0 0 0 4 4 4 0 0 4 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 4 4 4 0 0 4 4 0 4 0 4 4 4 0 0 4 0 4 4 0 0 0 0 4 4 0 4 4 0 4 0 0 0 4 0 4 4 4 0 4 0 0 0 0 4 0 0 0 0 4 4 4 0 0 generates a code of length 81 over Z8 who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+10x^65+79x^66+72x^67+179x^68+176x^69+332x^70+362x^71+563x^72+674x^73+790x^74+1156x^75+1300x^76+1822x^77+2158x^78+2478x^79+2794x^80+2780x^81+2780x^82+2548x^83+2205x^84+1900x^85+1415x^86+1158x^87+770x^88+674x^89+428x^90+348x^91+263x^92+134x^93+137x^94+66x^95+93x^96+22x^97+49x^98+4x^99+20x^100+21x^102+3x^104+2x^106+1x^108+1x^110 The gray image is a code over GF(2) with n=324, k=15 and d=130. This code was found by Heurico 1.16 in 84.1 seconds.