The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X X 1 0 0 1 0 X 1 1 1 X 1 1 1 0 X 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 X X 1 1 1 X 1 1 1 1 1 X X X 0 1 X 0 1 1 X 1 0 1 0 0 0 1 1 1 X 0 X+1 X+1 1 1 X 1 1 X X+1 1 1 1 1 X X 0 0 X X+1 X+1 X X 1 1 1 0 1 X 0 X X+1 0 1 X+1 1 X 0 1 1 1 1 X+1 0 0 0 1 X X 0 X+1 1 X 1 1 X 1 0 1 X+1 0 0 0 0 1 0 1 1 0 1 0 X+1 X+1 X X X+1 1 X X 1 X+1 X+1 0 X X+1 X 1 X X+1 1 X+1 X X 1 1 1 X X 0 1 0 1 1 1 X+1 X+1 X+1 0 X+1 X 0 X 1 1 X+1 1 1 1 X 1 1 X 0 X 0 0 0 0 1 X+1 1 X 0 0 0 0 1 1 0 1 1 1 0 1 X X+1 0 X+1 1 1 0 X 0 X 1 X+1 1 X+1 X+1 1 1 X+1 X 0 1 0 X+1 X X 1 0 X+1 X 0 X 0 1 1 0 X+1 X X 0 X X+1 0 1 1 1 0 1 X+1 X X+1 1 X+1 1 X+1 1 0 X+1 0 X 0 0 0 0 0 X 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 0 0 X X X X X X X 0 0 X X 0 X X X 0 X X 0 0 X X X X X 0 0 0 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X 0 X X X X X 0 X X 0 X 0 X X X 0 0 X 0 X 0 X X X 0 X 0 X 0 0 0 0 0 X X 0 X X 0 X 0 X 0 0 0 X X 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 0 X X X X 0 0 0 0 X X X X X 0 X 0 0 X 0 0 X X 0 X X X 0 0 0 0 0 0 X 0 X X X 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 0 0 X X X X 0 X X X X 0 X X X 0 X X X X X 0 X X 0 X 0 X 0 X X 0 X 0 0 X 0 0 X X X 0 X X X X 0 X X 0 X X 0 generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+54x^60+70x^61+125x^62+164x^63+199x^64+238x^65+236x^66+242x^67+243x^68+214x^69+229x^70+252x^71+205x^72+236x^73+194x^74+218x^75+188x^76+168x^77+138x^78+98x^79+96x^80+76x^81+78x^82+44x^83+33x^84+20x^85+19x^86+6x^87+3x^88+2x^89+4x^90+2x^92+1x^94 The gray image is a linear code over GF(2) with n=142, k=12 and d=60. This code was found by Heurico 1.16 in 2.63 seconds.