The generator matrix 1 0 0 0 1 1 1 1 1 1 1 X X X^2 X^2+X 1 X^2 1 X^2 1 1 X^2 X^2 1 1 1 0 X 1 0 1 1 1 X^2+X 1 0 X^2 1 X X^2+X 1 1 1 0 1 0 1 X^2 X X 1 X 0 X^2 X^2+X X^2 1 X^2+X X X^2+X X 0 1 1 1 1 X 1 1 1 X X 1 0 1 0 0 X 1 X^2+X+1 X^2 X^2+X X+1 X^2+1 1 1 1 X X^2 1 X 1 X+1 X X^2 X^2+X 1 X^2+1 X^2+X+1 X^2+X 1 X 1 X+1 X^2+X 0 X^2+X X 1 X^2 X 1 1 X^2 X^2+X+1 X^2+1 X X^2+1 1 X^2+X 1 1 X^2+X X^2 1 1 1 X 1 1 0 1 1 X^2 0 X X^2 X^2+X+1 1 X X X^2+X+1 X^2+1 1 X^2+X X 0 0 1 0 0 0 0 1 X^2+1 1 1 X+1 1 X 1 X^2 X X+1 X^2+X+1 X^2+X+1 X^2+1 1 1 X X^2+X+1 X^2 0 X X^2+X+1 1 X^2+X X X^2+1 1 X^2+X+1 X^2+1 X^2+X 0 X^2+1 X^2 X 0 X^2+X+1 1 X^2+1 1 X^2+X+1 X^2+X X^2+1 X X 0 X+1 X^2 1 X^2 0 1 X^2+X X^2+X+1 1 X^2+X X^2 X+1 0 X^2+1 1 0 X+1 X^2+1 X^2+X 0 X 0 0 0 1 1 X^2+X+1 X^2+X X+1 0 1 X^2+X 1 X^2 X+1 1 X^2+1 X^2 X^2 X X+1 1 X+1 X 0 X X^2+1 1 X+1 X^2+X X+1 X^2 X^2 X^2+1 0 1 1 1 X^2 X^2+1 X^2 X+1 X^2+X+1 1 1 X X^2 0 X 1 1 X X X^2+X X^2 X+1 X+1 X^2+X 1 0 X 0 1 X^2+X+1 X^2+X+1 1 X^2+1 X 1 0 1 X^2+X 1 X+1 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 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 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+82x^63+454x^64+548x^65+1092x^66+1176x^67+1952x^68+1746x^69+2573x^70+2364x^71+3069x^72+2696x^73+3278x^74+2222x^75+2750x^76+1754x^77+1744x^78+1036x^79+1006x^80+516x^81+370x^82+138x^83+96x^84+26x^85+27x^86+22x^87+13x^88+8x^89+4x^90+2x^92+2x^93+1x^96 The gray image is a linear code over GF(2) with n=292, k=15 and d=126. This code was found by Heurico 1.16 in 48.4 seconds.