The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 1 X^2 1 1 1 X^2+X 1 X^2+X 1 1 X 0 1 1 X^2 1 1 X^2+X 1 X^2 1 X X^2 1 1 1 1 1 1 1 X X 1 1 1 X 1 1 0 1 0 1 X^2+X 1 1 1 X^2 1 1 1 0 1 1 1 X^2 X^2+X 1 1 1 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 X^2 X^2+X+1 1 0 X^2+X X^2+1 1 X^2+1 1 X^2+X X+1 1 1 X^2+X 1 1 X X^2+1 1 X^2+X 1 X^2+X 1 1 X^2+X+1 0 X^2 X^2+X X^2+X X^2+X+1 1 1 1 X^2+X+1 X^2+X+1 X^2+X X X^2+X+1 1 1 0 X^2 X 1 X^2+X X+1 0 X X^2+1 1 X^2 1 X+1 1 X^2+1 1 1 X^2 X^2+X X+1 X^2 0 0 X 0 X^2+X 0 X^2+X X^2 X X X X^2 X^2+X X X X^2 X^2+X X^2 X^2 X X^2+X 0 0 X 0 0 X 0 X^2+X X^2 X^2 X^2+X X 0 X^2+X 0 X X^2 X 0 X^2+X X^2+X X X 0 X^2 X X^2 X 0 X 0 X^2 X X^2 X X^2+X X^2+X X X X X^2+X X X^2 X 0 X^2 X X 0 X^2 X^2 X 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+42x^65+101x^66+194x^67+270x^68+304x^69+326x^70+368x^71+367x^72+332x^73+358x^74+358x^75+287x^76+198x^77+189x^78+134x^79+80x^80+68x^81+39x^82+24x^83+13x^84+10x^85+9x^86+10x^87+4x^88+6x^89+1x^90+2x^92+1x^98 The gray image is a linear code over GF(2) with n=292, k=12 and d=130. This code was found by Heurico 1.16 in 1.21 seconds.