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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 0 2 1 2 2 2 1 2 2 1 0 2 4 1 1 0 2 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 0 0 4 6 6 6 2 2 2 2 2 6 6 2 6 6 2 6 6 6 0 4 6 4 0 2 4 6 6 2 6 0 2 6 6 4 4 0 2 0 0 2 6 4 2 6 0 4 4 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 4 0 4 6 6 6 2 6 2 2 4 4 0 0 4 6 0 2 4 2 6 6 6 6 4 4 0 6 2 4 2 0 2 6 6 4 0 2 2 0 4 6 2 6 0 0 4 6 0 6 0 6 6 0 4 6 4 2 6 0 2 0 0 0 2 0 0 0 0 0 0 0 6 2 2 0 2 6 4 2 4 2 4 0 4 2 2 0 6 4 2 6 6 6 2 4 4 6 2 6 6 6 2 4 4 4 6 4 0 6 4 0 2 2 0 4 6 2 0 0 4 6 6 6 2 2 2 2 0 6 4 6 6 0 0 0 0 2 0 0 4 6 2 2 2 2 0 2 6 4 2 6 0 0 6 6 0 2 4 0 4 2 2 0 2 0 0 2 4 6 2 6 4 0 6 2 4 0 2 2 2 6 2 2 4 4 6 0 2 2 2 6 4 0 4 6 2 2 4 6 4 4 2 6 0 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 4 4 4 4 0 4 6 2 6 6 2 6 2 2 2 6 4 2 2 2 6 2 2 4 6 2 6 2 4 4 2 2 4 0 2 2 2 4 2 4 4 2 4 0 4 0 0 0 0 0 0 2 2 4 6 2 0 2 2 0 0 0 2 6 2 6 0 6 2 6 4 4 6 4 0 6 2 0 6 6 2 6 0 6 6 2 4 6 2 6 6 2 0 4 4 4 0 2 2 4 2 6 2 0 0 0 4 2 0 4 2 0 0 2 6 4 2 generates a code of length 72 over Z8 who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+72x^59+156x^60+306x^61+415x^62+476x^63+553x^64+684x^65+793x^66+1076x^67+1552x^68+2158x^69+2957x^70+3414x^71+3581x^72+3406x^73+2938x^74+2180x^75+1534x^76+1132x^77+877x^78+690x^79+496x^80+422x^81+273x^82+246x^83+156x^84+76x^85+63x^86+36x^87+32x^88+8x^89+4x^90+2x^91+2x^92+1x^120 The gray image is a code over GF(2) with n=288, k=15 and d=118. This code was found by Heurico 1.16 in 71.3 seconds.