The generator matrix 1 0 0 0 0 0 0 0 1 1 1 X 1 1 1 1 X X 1 0 1 0 0 0 1 1 X 0 1 0 1 0 1 1 X 0 1 1 1 1 X X 1 1 1 1 1 1 0 1 0 0 1 0 X X 1 1 0 X X X 1 X 0 0 1 X X 0 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 X X X X X X X X 1 X+1 1 1 1 1 1 X+1 1 X+1 X+1 1 1 1 1 1 X+1 X 1 1 1 1 X X 1 1 X+1 X 1 1 0 X 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 X X X X 1 1 X+1 1 1 1 X+1 X+1 1 1 X 1 X+1 1 X 1 0 0 1 X+1 X+1 X+1 0 X 0 1 X X X 0 X 1 1 1 1 0 0 X+1 X+1 1 X 0 0 0 0 X 1 0 X 1 X 0 0 0 0 0 1 0 0 0 0 0 1 X 1 0 X+1 1 1 1 1 X+1 1 X X 1 0 X+1 X 0 X+1 0 X X+1 0 0 X+1 X X X 0 1 0 0 0 1 X+1 0 1 1 X+1 X+1 X+1 X+1 1 0 1 1 X+1 X 1 X X 1 X+1 1 1 X 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 X 0 1 X+1 0 1 0 X X X+1 0 1 X X+1 X X+1 X+1 0 1 1 0 X+1 1 1 1 X X+1 X+1 1 X X+1 0 X 0 0 X+1 X+1 X X 0 1 1 X+1 X+1 0 1 1 1 1 X+1 1 1 1 0 X+1 X+1 X+1 X 0 0 0 0 0 0 1 0 0 1 X 0 X+1 1 X+1 0 1 1 X 0 1 X 1 X X 1 X+1 X+1 X X+1 X X+1 X+1 X 0 0 X X+1 X 1 X X+1 X+1 X X 1 0 1 X+1 1 0 X+1 0 1 X+1 1 1 X 0 X+1 X X X X 0 0 X+1 X+1 X+1 1 1 0 0 0 0 0 0 0 1 0 1 X+1 X+1 1 X+1 X 0 0 1 X+1 0 X X+1 X+1 1 X+1 1 0 X+1 0 X X+1 X 0 1 X+1 1 0 1 X+1 1 0 X 1 1 1 X+1 X+1 X X 0 X+1 1 X+1 0 0 X 0 X X 0 0 0 1 1 X X X X+1 X X 1 0 0 0 0 0 0 0 0 1 X X 1 1 1 X+1 X+1 0 X 0 X 0 X+1 1 X+1 0 1 0 0 X X+1 X+1 X 1 0 X+1 X 1 X 0 X 1 X X+1 1 X+1 0 1 0 X 1 X X 1 1 X+1 0 0 0 0 0 1 0 X 0 X X+1 0 X+1 1 X+1 X+1 X generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+32x^55+127x^56+348x^57+542x^58+752x^59+1027x^60+1192x^61+1426x^62+1914x^63+2144x^64+2498x^65+2869x^66+3346x^67+3889x^68+3966x^69+4320x^70+4276x^71+4267x^72+4112x^73+3929x^74+3640x^75+3121x^76+2892x^77+2236x^78+1762x^79+1349x^80+1074x^81+855x^82+530x^83+367x^84+262x^85+176x^86+112x^87+78x^88+32x^89+29x^90+20x^91+12x^92+8x^93+2x^94+2x^96 The gray image is a linear code over GF(2) with n=142, k=16 and d=55. This code was found by Heurico 1.11 in 251 seconds.