The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 X 1 1 0 X 1 X 0 X X X 1 1 1 1 0 X 1 1 1 1 0 0 X X X X X X 0 1 1 1 0 0 1 X 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 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 1 1 1 1 X+1 1 1 1 1 1 1 X+1 1 1 X+1 1 X+1 1 1 1 1 X 1 X 1 1 X+1 X 1 1 X+1 X 1 X+1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X 1 1 1 1 X X+1 X X+1 X 1 X+1 X X+1 0 1 1 1 X 1 1 X 1 X+1 1 X+1 X+1 X 1 0 0 0 X+1 X+1 0 X+1 0 X 1 X+1 X X X 0 X 1 0 X+1 X+1 X X+1 0 X+1 X 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 X X+1 1 X+1 0 1 X X 0 0 1 1 1 0 1 1 1 X 1 X 1 0 1 X+1 X+1 1 1 1 X+1 X X 1 X 0 1 0 X+1 X 1 1 1 X+1 X 1 1 0 0 0 0 1 X+1 X+1 1 1 X X+1 0 0 0 0 0 1 0 0 0 1 0 X X+1 1 X 0 0 1 X X+1 1 X+1 1 X X+1 1 X X X X+1 X 1 X+1 1 1 0 X 0 0 X X X 1 X X+1 0 1 0 1 1 X+1 1 0 1 X+1 X+1 X X X+1 1 X+1 X+1 X+1 X 0 X 0 X+1 X X 0 1 1 0 0 0 0 0 0 1 0 0 1 X X+1 X 1 0 0 X 1 1 X X+1 X X 1 0 X+1 X+1 0 0 0 1 X 0 X+1 X+1 1 1 1 X X+1 X+1 X X X+1 1 1 X 0 0 0 0 X 1 X+1 X+1 X+1 1 X 1 1 1 0 X+1 X X X 0 0 0 X X+1 X 1 1 0 0 0 0 0 0 1 0 1 X+1 0 X X+1 X 1 1 0 1 1 0 1 0 X X 1 X+1 0 X+1 1 1 X X 0 0 1 1 X+1 1 0 X 0 0 X X+1 1 1 X 1 X X+1 0 X+1 X X X+1 1 X+1 X 1 1 0 0 1 0 0 1 X+1 X+1 X+1 X+1 0 1 1 0 0 0 0 0 0 0 1 X 1 X+1 X+1 X+1 1 X 1 X 1 X X+1 0 0 X+1 0 X 0 X 1 0 X+1 X X+1 0 1 X+1 X X X+1 X X+1 X+1 X+1 1 X 0 1 0 0 X+1 1 1 1 X X+1 X X 0 X+1 0 1 X+1 1 1 1 0 X+1 X 1 1 X+1 0 X+1 1 generates a code of length 73 over Z2[X]/(X^2) who�s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+64x^57+197x^58+328x^59+535x^60+752x^61+983x^62+1252x^63+1530x^64+1872x^65+2206x^66+2490x^67+3036x^68+3564x^69+3551x^70+3942x^71+4111x^72+4042x^73+4186x^74+4152x^75+4020x^76+3514x^77+3209x^78+2786x^79+2277x^80+1840x^81+1432x^82+1090x^83+796x^84+600x^85+394x^86+290x^87+177x^88+114x^89+81x^90+52x^91+29x^92+18x^93+14x^94+2x^95+4x^97+2x^98+1x^102 The gray image is a linear code over GF(2) with n=146, k=16 and d=57. This code was found by Heurico 1.11 in 294 seconds.