The generator matrix 1 0 1 1 1 X^2+X 1 1 0 X^2+X 1 1 1 X^2 1 1 X 1 1 1 X^2 1 X 1 1 1 X X 1 1 X 1 1 1 1 X 1 X^2 1 X^2+X 1 1 1 X 1 1 1 1 1 0 1 1 X^2 X^2+X 1 1 1 X^2 X^2 1 1 0 0 1 X 1 0 1 X^2 1 1 X^2 1 0 1 1 0 1 1 X X^2+X+1 1 1 X^2+X+1 X^2+X 1 1 0 X 1 X^2+1 X^2 X+1 1 X 1 1 X^2+X X+1 1 1 X^2+X+1 X^2+X 1 0 X 1 X^2+1 1 X^2+X 1 0 1 X+1 X^2+X X+1 1 X^2+1 X+1 X^2+1 X^2 X^2+1 1 X^2 X^2+X+1 1 1 1 X^2 1 1 1 X+1 1 X 0 X^2 X X^2+X+1 1 X^2+1 X X^2+X+1 0 1 X^2 0 0 X 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2+X X X X X^2+X X X^2+X X X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X X X^2+X X X^2+X X^2 X X^2+X X^2+X X^2+X X^2 X 0 X^2+X X^2+X X^2 X^2 X^2+X 0 X^2+X X X X^2 X^2+X X^2+X X^2+X X X^2 0 X^2+X X^2+X X X^2+X X^2 0 X^2 0 0 0 0 X 0 0 X X^2 X X^2+X X X^2 X^2+X X X X^2 0 X 0 0 X^2 X^2+X X X^2+X X X^2 X^2 X X^2 X X^2+X X^2+X 0 0 X X 0 0 X 0 X^2+X X^2 X X X^2 X^2 X^2 X X^2+X 0 0 0 0 X^2 0 X^2+X X^2+X X^2+X 0 0 X X^2+X X^2 X^2 X X 0 0 X X^2 X^2 X X 0 0 0 0 X 0 0 X X X^2+X X^2 X^2 X^2 X^2 X^2+X X^2+X X X^2+X X X^2 X X 0 X 0 X 0 0 0 X^2+X X^2+X X^2 0 X^2+X X^2 X^2 X^2+X X X X^2+X X^2+X X X^2+X X^2+X X X X^2+X X^2 X^2+X X^2+X X 0 X^2+X X^2 X X X X^2+X X^2 0 0 X 0 0 X X^2+X X^2 0 X^2+X 0 X 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+47x^64+166x^65+208x^66+496x^67+324x^68+660x^69+473x^70+808x^71+485x^72+934x^73+587x^74+866x^75+435x^76+610x^77+244x^78+338x^79+146x^80+140x^81+59x^82+38x^83+29x^84+34x^85+22x^86+14x^87+4x^88+16x^89+6x^90+1x^94+1x^96 The gray image is a linear code over GF(2) with n=292, k=13 and d=128. This code was found by Heurico 1.16 in 5.2 seconds.