The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X X 1 0 1 1 X 1 1 1 1 0 1 1 X 1 1 X 0 0 0 0 1 0 0 1 X 0 0 X 1 1 0 0 0 1 0 1 1 X X 1 1 X 1 X 1 1 0 0 1 0 0 0 1 1 1 X 0 X+1 X+1 1 1 X 1 1 1 1 1 0 X+1 X 0 1 X 0 X 1 X+1 1 1 X 1 1 1 1 1 X+1 1 1 0 1 X 1 1 X+1 1 X 1 X 0 X X X 1 0 X X+1 1 X X 1 1 1 0 0 1 0 1 1 0 1 0 X+1 X+1 X X X+1 1 X X X+1 1 X+1 X+1 X 0 X+1 0 1 X 1 1 1 X X+1 1 X+1 X+1 0 0 X X+1 1 X+1 0 1 1 X X+1 X+1 X 1 1 X 1 1 X X X+1 0 X X+1 X+1 0 0 X+1 1 X 0 0 0 1 1 0 1 1 1 0 1 X X+1 0 X+1 1 1 X+1 0 0 X 1 1 X+1 0 X X+1 X+1 1 0 X+1 X+1 1 X X 0 X X 0 X X+1 X X+1 X+1 X 0 1 1 0 X+1 1 X+1 X+1 1 1 X+1 1 X+1 X X 1 1 X 0 X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X 0 X X X 0 X X 0 X 0 X X 0 0 0 0 X X X X X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X X X X X X X 0 0 X 0 X X X 0 X 0 0 0 X 0 0 X 0 X 0 0 X X X X X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X X X X 0 0 X 0 X 0 X X 0 X 0 X 0 X 0 0 X X X X 0 X 0 0 0 0 0 X X X X 0 0 X 0 0 0 0 X X 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X X 0 X 0 0 X 0 X 0 X X 0 0 0 X X 0 X X 0 X 0 0 X 0 X 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+74x^55+128x^56+148x^57+198x^58+222x^59+296x^60+202x^61+214x^62+246x^63+260x^64+284x^65+197x^66+234x^67+222x^68+246x^69+176x^70+172x^71+159x^72+118x^73+97x^74+64x^75+68x^76+24x^77+10x^78+12x^79+11x^80+2x^81+3x^82+6x^84+1x^88+1x^90 The gray image is a linear code over GF(2) with n=130, k=12 and d=55. This code was found by Heurico 1.16 in 68.2 seconds.