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 X X 1 1 1 1 X X X 0 1 1 1 X 0 X 1 X 1 1 X 1 1 1 0 0 1 1 1 0 0 1 1 1 1 X 1 1 X X 1 X 0 0 X 1 1 0 1 0 1 0 0 0 1 1 1 X 0 X+1 X+1 1 1 X 1 1 1 1 1 1 X 1 X+1 0 0 0 0 X X 0 0 1 1 X+1 1 X 1 X 1 X 1 1 X+1 1 X+1 X+1 X X 1 1 X X 1 1 0 X 1 1 0 0 1 0 1 X 1 1 1 0 X 0 1 0 0 0 1 0 1 1 0 1 0 X+1 X+1 X X X+1 1 X X X+1 1 1 0 X X X+1 0 1 1 1 0 X+1 0 1 0 0 X X X+1 0 0 1 1 X+1 0 1 0 0 X X 1 0 1 X+1 X 0 0 X+1 0 0 X+1 1 X+1 1 1 X+1 0 1 X X 1 0 X+1 1 1 0 0 0 1 1 0 1 1 1 0 1 X X+1 0 X+1 1 1 X+1 0 X X 0 X 0 1 1 X 1 1 X+1 1 1 0 1 0 0 X X+1 1 X+1 0 X X+1 0 X 1 X X X 0 X+1 0 0 0 X+1 1 0 X+1 1 1 1 X X 0 0 X+1 X+1 0 0 X+1 X+1 X+1 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 0 X X X X X X X X X X X X X X 0 X X X X 0 X 0 X 0 0 X 0 X 0 X 0 0 X X X X 0 X 0 0 X 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X 0 X X X X X X 0 X X 0 X X X X 0 0 X 0 0 0 0 X X 0 0 0 X X 0 X 0 X X 0 0 0 X X 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 0 X X X X X X 0 0 X X 0 X X X 0 X X X X X 0 0 0 0 X X 0 X 0 X X 0 X 0 0 X 0 0 0 X X X X X X X X 0 X X 0 0 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 X 0 X 0 0 0 X 0 X X 0 X X 0 X X 0 X X 0 0 0 0 0 0 X X 0 0 0 0 0 0 X 0 X X X 0 0 X X 0 0 0 0 X X X 0 X X X X 0 generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+47x^62+74x^63+126x^64+172x^65+201x^66+208x^67+241x^68+260x^69+230x^70+252x^71+221x^72+220x^73+198x^74+214x^75+218x^76+190x^77+207x^78+184x^79+154x^80+138x^81+99x^82+82x^83+52x^84+38x^85+27x^86+10x^87+7x^88+6x^89+14x^90+3x^96+1x^100+1x^102 The gray image is a linear code over GF(2) with n=146, k=12 and d=62. This code was found by Heurico 1.16 in 2.74 seconds.