The generator matrix 1 0 0 0 0 0 0 1 1 1 X 0 1 1 0 1 1 X 1 0 1 X 1 1 X X 0 1 1 0 1 1 1 1 1 1 X 0 X 0 0 1 X 0 X X 1 X 1 1 1 1 1 1 X X 1 X X X 1 1 1 X X X 1 1 1 1 1 X 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X 0 X 0 X 0 X X X X X 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X+1 1 X+1 1 0 1 1 X+1 1 X 1 0 1 1 1 0 X 0 X+1 X 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 X+1 1 X 1 X+1 1 1 X X 0 0 1 X X 1 1 X+1 0 X+1 X X+1 1 1 1 X X 0 0 X X X X+1 0 1 1 X+1 X+1 X X 1 1 X 1 X+1 X X+1 1 0 X 1 X+1 0 X 0 1 0 0 0 0 1 0 0 0 0 0 0 0 X 0 0 0 X X X X X 1 1 1 1 X+1 1 1 1 1 1 1 0 0 X+1 X+1 1 X+1 X+1 0 X 0 X+1 X 1 1 X X+1 0 1 1 X 0 1 1 X+1 0 X 1 X 0 X+1 X 0 1 X 1 X+1 1 1 X X 0 X 0 0 0 0 0 1 0 0 0 1 1 1 1 0 X X X 1 X+1 X+1 X+1 1 0 X+1 X X+1 X+1 X+1 X X 1 0 X X 0 1 1 1 0 1 X+1 0 0 X+1 X+1 0 0 X X+1 X 0 1 X+1 1 X 1 0 X X 0 X X+1 0 1 X+1 1 1 X X+1 0 0 0 1 X+1 0 0 0 0 0 0 1 0 1 0 X+1 1 1 1 0 X+1 0 X+1 1 0 0 0 X X X+1 X+1 X 1 X X+1 0 0 X+1 1 X 0 X+1 1 X X 1 X 0 X X X+1 1 X 1 X+1 0 1 0 0 1 X+1 X+1 X 0 X X X+1 1 1 X X X 1 X+1 X X+1 0 0 1 1 0 0 0 0 0 0 1 1 X+1 X 1 0 X 1 1 0 1 0 0 X+1 0 X+1 1 X+1 1 X+1 X 1 0 X X+1 0 1 0 X+1 0 0 X+1 X 1 1 X+1 1 X X 1 0 X X 1 1 0 X 1 1 X+1 0 1 1 1 0 0 X 0 0 1 1 1 X+1 1 X+1 1 0 X+1 0 0 0 0 0 0 0 X X 0 0 X 0 0 X X 0 0 0 X 0 X X X X X 0 0 0 X X X 0 X 0 X X 0 0 X X X X X X 0 X 0 0 0 X X 0 0 0 0 0 0 0 X X X 0 X 0 0 X 0 0 0 0 0 0 X generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+48x^59+164x^60+226x^61+418x^62+534x^63+657x^64+804x^65+1044x^66+1154x^67+1336x^68+1546x^69+1666x^70+1852x^71+1897x^72+2010x^73+1894x^74+2030x^75+1941x^76+1892x^77+1819x^78+1574x^79+1398x^80+1198x^81+998x^82+770x^83+646x^84+422x^85+298x^86+196x^87+121x^88+82x^89+46x^90+30x^91+25x^92+10x^93+6x^94+4x^95+6x^96+2x^97+2x^98+1x^110 The gray image is a linear code over GF(2) with n=148, k=15 and d=59. This code was found by Heurico 1.11 in 62.6 seconds.