The generator matrix 1 0 0 0 0 1 1 1 0 1 X^2 1 X^2 1 X^2+X 1 0 1 1 X 1 0 1 X^2+X 1 1 X 1 1 1 X^2 X^2+X 1 1 X^2 1 1 1 1 1 0 X^2 1 1 X^2+X 1 X^2 X X^2+X X^2+X 1 1 X X^2+X 0 1 X^2 0 1 1 0 X 1 1 1 0 X 0 1 0 0 1 1 1 0 1 0 0 0 0 0 X^2 X^2 1 1 1 1 1 1 X+1 X^2+X X^2+X+1 X^2+X X X^2 1 X^2+1 1 X X 1 X^2+X+1 X^2 X^2+X+1 X 1 1 X^2+X+1 X^2 X+1 X^2+X X 0 1 1 0 1 0 1 X^2+1 X^2+X 1 X 1 0 0 X X^2+X 1 X^2 X^2+X 1 X^2+X+1 X^2 0 X^2 1 X+1 X^2+1 X^2+X 1 1 X^2+X X^2 X X^2+X X^2 X^2 0 0 1 0 0 X^2 1 X^2+1 1 0 1 X+1 X^2+X+1 X^2+1 0 X 1 X X^2+X+1 1 1 0 X X^2+X X^2+X 0 X^2+1 X^2+X+1 X^2 1 1 X^2+1 X+1 X^2 X X^2+X 1 X^2 X^2 X^2+1 X^2+X+1 X^2 X^2 X X^2 X^2+X 1 X^2+X X^2 X^2 X^2+X X^2+X+1 X^2+X 1 1 X+1 X^2 X^2+X 0 X+1 1 1 X^2+X 0 X 1 X^2+1 X^2+1 X+1 X^2 X 0 X^2 0 0 0 0 1 0 X^2+1 1 0 1 X^2 X^2+1 X+1 X^2 X^2+X X^2+1 X^2+X+1 X^2+X 1 0 X^2+X+1 X+1 X^2+1 X 0 X^2+X X^2+1 X+1 X 0 1 X+1 X^2 X^2+1 X X^2 0 X^2+X+1 X+1 X^2+X+1 X 1 1 X+1 X^2+X+1 X^2+X+1 X^2+X+1 X^2 X^2+X 1 X^2+1 X^2+1 X^2+X 1 1 X^2+X+1 X^2+X 1 X^2 X^2+1 X^2+X+1 X^2+X+1 X^2+1 X^2+X+1 X+1 X^2+1 X^2 1 X^2+X X+1 1 X 0 X^2 0 0 0 0 0 1 1 X^2 1 1 X^2+1 X^2 1 X+1 0 1 0 X^2+1 X+1 X^2+X X^2+X X^2+X+1 X X^2+X X^2+X+1 1 X^2 1 X^2+X+1 X^2+X X^2+X X+1 X^2+X X^2+X+1 X^2+1 1 0 X^2+X 0 X^2+1 X+1 0 1 X^2 X 1 X^2+X+1 X^2+X+1 X^2+X+1 1 0 X^2+X+1 X^2 X+1 X^2+X 1 X^2+1 X+1 X^2+X+1 1 X^2 X X^2+1 X^2 X^2+X X X X^2+X 1 X X^2+X+1 1 X^2+X X^2 X^2+X generates a code of length 74 over Z2[X]/(X^3) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+45x^64+340x^65+722x^66+1028x^67+1494x^68+1658x^69+2171x^70+2094x^71+2854x^72+2506x^73+3124x^74+2604x^75+2583x^76+2292x^77+2279x^78+1656x^79+1253x^80+732x^81+589x^82+304x^83+209x^84+106x^85+70x^86+26x^87+7x^88+14x^89+5x^90+2x^92 The gray image is a linear code over GF(2) with n=296, k=15 and d=128. This code was found by Heurico 1.16 in 45.5 seconds.